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Finding the Fourth Proportional to 616,814.20, 924,227.70 and 349,780.60

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Solution

The fourth proportional to 616,814.20, 924,227.70 and 349,780.60 is: 524,107.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,814.20 : 924,227.70 = 349,780.60 : x
  2. Step 2: Convert to fraction form
    616,814.20/924,227.70 = 349,780.60/x
  3. Step 3: Cross multiply
    616,814.20x = 924,227.70 × 349,780.60
  4. Step 4: Simplify right side
    616,814.20x = 323,276,919,442.62
  5. Step 5: Solve for x
    x = 323,276,919,442.62/616,814.20
  6. Step 6: Final answer
    x = 524,107.45

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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.