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Finding the Fourth Proportional to 547,794.30, 821,691.45 and 311,598.30

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Solution

The fourth proportional to 547,794.30, 821,691.45 and 311,598.30 is: 467,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,794.30 : 821,691.45 = 311,598.30 : x
  2. Step 2: Convert to fraction form
    547,794.30/821,691.45 = 311,598.30/x
  3. Step 3: Cross multiply
    547,794.30x = 821,691.45 × 311,598.30
  4. Step 4: Simplify right side
    547,794.30x = 256,037,658,944.54
  5. Step 5: Solve for x
    x = 256,037,658,944.54/547,794.30
  6. Step 6: Final answer
    x = 467,397.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.