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Finding the Fourth Proportional to 742,368.32, 1,024,471.02 and 402,836.57

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Solution

The fourth proportional to 742,368.32, 1,024,471.02 and 402,836.57 is: 555,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,368.32 : 1,024,471.02 = 402,836.57 : x
  2. Step 2: Convert to fraction form
    742,368.32/1,024,471.02 = 402,836.57/x
  3. Step 3: Cross multiply
    742,368.32x = 1,024,471.02 × 402,836.57
  4. Step 4: Simplify right side
    742,368.32x = 412,694,391,761.20
  5. Step 5: Solve for x
    x = 412,694,391,761.20/742,368.32
  6. Step 6: Final answer
    x = 555,915.95

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