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Finding the Fourth Proportional to 402,916.20, 604,568.70 and 284,332.20

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Solution

The fourth proportional to 402,916.20, 604,568.70 and 284,332.20 is: 426,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,916.20 : 604,568.70 = 284,332.20 : x
  2. Step 2: Convert to fraction form
    402,916.20/604,568.70 = 284,332.20/x
  3. Step 3: Cross multiply
    402,916.20x = 604,568.70 × 284,332.20
  4. Step 4: Simplify right side
    402,916.20x = 171,898,348,522.14
  5. Step 5: Solve for x
    x = 171,898,348,522.14/402,916.20
  6. Step 6: Final answer
    x = 426,635.49

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