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Finding the Fourth Proportional to 616,584.28, 924,246 and 349,781.20

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Solution

The fourth proportional to 616,584.28, 924,246 and 349,781.20 is: 524,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,584.28 : 924,246 = 349,781.20 : x
  2. Step 2: Convert to fraction form
    616,584.28/924,246 = 349,781.20/x
  3. Step 3: Cross multiply
    616,584.28x = 924,246 × 349,781.20
  4. Step 4: Simplify right side
    616,584.28x = 323,283,874,975.20
  5. Step 5: Solve for x
    x = 323,283,874,975.20/616,584.28
  6. Step 6: Final answer
    x = 524,314.17

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Why These Related Problems?

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