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Finding the Fourth Proportional to 616,635.52, 924,948.48 and 317,200

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Solution

The fourth proportional to 616,635.52, 924,948.48 and 317,200 is: 475,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,635.52 : 924,948.48 = 317,200 : x
  2. Step 2: Convert to fraction form
    616,635.52/924,948.48 = 317,200/x
  3. Step 3: Cross multiply
    616,635.52x = 924,948.48 × 317,200
  4. Step 4: Simplify right side
    616,635.52x = 293,393,657,856
  5. Step 5: Solve for x
    x = 293,393,657,856/616,635.52
  6. Step 6: Final answer
    x = 475,797.53

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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.