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Finding the Fourth Proportional to 616,774.20, 924,470.10 and 261,727.80

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Solution

The fourth proportional to 616,774.20, 924,470.10 and 261,727.80 is: 392,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,774.20 : 924,470.10 = 261,727.80 : x
  2. Step 2: Convert to fraction form
    616,774.20/924,470.10 = 261,727.80/x
  3. Step 3: Cross multiply
    616,774.20x = 924,470.10 × 261,727.80
  4. Step 4: Simplify right side
    616,774.20x = 241,959,525,438.78
  5. Step 5: Solve for x
    x = 241,959,525,438.78/616,774.20
  6. Step 6: Final answer
    x = 392,298.39

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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.