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Finding the Fourth Proportional to 616,637.52, 924,951.48 and 317,202

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Solution

The fourth proportional to 616,637.52, 924,951.48 and 317,202 is: 475,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,637.52 : 924,951.48 = 317,202 : x
  2. Step 2: Convert to fraction form
    616,637.52/924,951.48 = 317,202/x
  3. Step 3: Cross multiply
    616,637.52x = 924,951.48 × 317,202
  4. Step 4: Simplify right side
    616,637.52x = 293,396,459,358.96
  5. Step 5: Solve for x
    x = 293,396,459,358.96/616,637.52
  6. Step 6: Final answer
    x = 475,800.53

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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.