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Finding the Fourth Proportional to 412,944.90, 619,417.35 and 412,944.90

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Solution

The fourth proportional to 412,944.90, 619,417.35 and 412,944.90 is: 619,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,944.90 : 619,417.35 = 412,944.90 : x
  2. Step 2: Convert to fraction form
    412,944.90/619,417.35 = 412,944.90/x
  3. Step 3: Cross multiply
    412,944.90x = 619,417.35 × 412,944.90
  4. Step 4: Simplify right side
    412,944.90x = 255,785,235,654.02
  5. Step 5: Solve for x
    x = 255,785,235,654.02/412,944.90
  6. Step 6: Final answer
    x = 619,417.35

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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.