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Finding the Fourth Proportional to 616,175.20, 924,133.20 and 261,200.80

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Solution

The fourth proportional to 616,175.20, 924,133.20 and 261,200.80 is: 391,746.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,175.20 : 924,133.20 = 261,200.80 : x
  2. Step 2: Convert to fraction form
    616,175.20/924,133.20 = 261,200.80/x
  3. Step 3: Cross multiply
    616,175.20x = 924,133.20 × 261,200.80
  4. Step 4: Simplify right side
    616,175.20x = 241,384,331,146.56
  5. Step 5: Solve for x
    x = 241,384,331,146.56/616,175.20
  6. Step 6: Final answer
    x = 391,746.26

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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.