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Finding the Fourth Proportional to 616,100.20, 924,020.70 and 261,125.80

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Solution

The fourth proportional to 616,100.20, 924,020.70 and 261,125.80 is: 391,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,100.20 : 924,020.70 = 261,125.80 : x
  2. Step 2: Convert to fraction form
    616,100.20/924,020.70 = 261,125.80/x
  3. Step 3: Cross multiply
    616,100.20x = 924,020.70 × 261,125.80
  4. Step 4: Simplify right side
    616,100.20x = 241,285,644,504.06
  5. Step 5: Solve for x
    x = 241,285,644,504.06/616,100.20
  6. Step 6: Final answer
    x = 391,633.77

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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.