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Finding the Fourth Proportional to 616,744.20, 924,425.10 and 261,697.80

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Solution

The fourth proportional to 616,744.20, 924,425.10 and 261,697.80 is: 392,253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,744.20 : 924,425.10 = 261,697.80 : x
  2. Step 2: Convert to fraction form
    616,744.20/924,425.10 = 261,697.80/x
  3. Step 3: Cross multiply
    616,744.20x = 924,425.10 × 261,697.80
  4. Step 4: Simplify right side
    616,744.20x = 241,920,014,934.78
  5. Step 5: Solve for x
    x = 241,920,014,934.78/616,744.20
  6. Step 6: Final answer
    x = 392,253.41

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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.