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Finding the Fourth Proportional to 509,136.79, 762,542.66 and 243,084.14

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Solution

The fourth proportional to 509,136.79, 762,542.66 and 243,084.14 is: 364,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,136.79 : 762,542.66 = 243,084.14 : x
  2. Step 2: Convert to fraction form
    509,136.79/762,542.66 = 243,084.14/x
  3. Step 3: Cross multiply
    509,136.79x = 762,542.66 × 243,084.14
  4. Step 4: Simplify right side
    509,136.79x = 185,362,025,006.60
  5. Step 5: Solve for x
    x = 185,362,025,006.60/509,136.79
  6. Step 6: Final answer
    x = 364,071.17

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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.