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Finding the Fourth Proportional to 512,136.17, 706,747.81 and 282,693.40

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Solution

The fourth proportional to 512,136.17, 706,747.81 and 282,693.40 is: 390,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,136.17 : 706,747.81 = 282,693.40 : x
  2. Step 2: Convert to fraction form
    512,136.17/706,747.81 = 282,693.40/x
  3. Step 3: Cross multiply
    512,136.17x = 706,747.81 × 282,693.40
  4. Step 4: Simplify right side
    512,136.17x = 199,792,940,468.00
  5. Step 5: Solve for x
    x = 199,792,940,468.00/512,136.17
  6. Step 6: Final answer
    x = 390,116.83

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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.