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Finding the Fourth Proportional to 509,099.52, 702,547.20 and 282,737.28

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Solution

The fourth proportional to 509,099.52, 702,547.20 and 282,737.28 is: 390,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,099.52 : 702,547.20 = 282,737.28 : x
  2. Step 2: Convert to fraction form
    509,099.52/702,547.20 = 282,737.28/x
  3. Step 3: Cross multiply
    509,099.52x = 702,547.20 × 282,737.28
  4. Step 4: Simplify right side
    509,099.52x = 198,636,284,399.62
  5. Step 5: Solve for x
    x = 198,636,284,399.62/509,099.52
  6. Step 6: Final answer
    x = 390,171.82

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Why These Related Problems?

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