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Finding the Fourth Proportional to 509,020.68, 762,866.82 and 284,372.04

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Solution

The fourth proportional to 509,020.68, 762,866.82 and 284,372.04 is: 426,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,020.68 : 762,866.82 = 284,372.04 : x
  2. Step 2: Convert to fraction form
    509,020.68/762,866.82 = 284,372.04/x
  3. Step 3: Cross multiply
    509,020.68x = 762,866.82 × 284,372.04
  4. Step 4: Simplify right side
    509,020.68x = 216,937,993,851.71
  5. Step 5: Solve for x
    x = 216,937,993,851.71/509,020.68
  6. Step 6: Final answer
    x = 426,186.99

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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.