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Finding the Fourth Proportional to 547,774.80, 821,662.20 and 311,578.80

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Solution

The fourth proportional to 547,774.80, 821,662.20 and 311,578.80 is: 467,368.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,774.80 : 821,662.20 = 311,578.80 : x
  2. Step 2: Convert to fraction form
    547,774.80/821,662.20 = 311,578.80/x
  3. Step 3: Cross multiply
    547,774.80x = 821,662.20 × 311,578.80
  4. Step 4: Simplify right side
    547,774.80x = 256,012,522,281.36
  5. Step 5: Solve for x
    x = 256,012,522,281.36/547,774.80
  6. Step 6: Final answer
    x = 467,368.20

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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.