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Finding the Fourth Proportional to 681,281.57, 940,123.56 and 409,187.78

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Solution

The fourth proportional to 681,281.57, 940,123.56 and 409,187.78 is: 564,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,281.57 : 940,123.56 = 409,187.78 : x
  2. Step 2: Convert to fraction form
    681,281.57/940,123.56 = 409,187.78/x
  3. Step 3: Cross multiply
    681,281.57x = 940,123.56 × 409,187.78
  4. Step 4: Simplify right side
    681,281.57x = 384,687,072,442.10
  5. Step 5: Solve for x
    x = 384,687,072,442.10/681,281.57
  6. Step 6: Final answer
    x = 564,652.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.