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Finding the Fourth Proportional to 574,146.76, 861,307.66 and 293,569.24

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Solution

The fourth proportional to 574,146.76, 861,307.66 and 293,569.24 is: 440,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,146.76 : 861,307.66 = 293,569.24 : x
  2. Step 2: Convert to fraction form
    574,146.76/861,307.66 = 293,569.24/x
  3. Step 3: Cross multiply
    574,146.76x = 861,307.66 × 293,569.24
  4. Step 4: Simplify right side
    574,146.76x = 252,853,435,152.38
  5. Step 5: Solve for x
    x = 252,853,435,152.38/574,146.76
  6. Step 6: Final answer
    x = 440,398.61

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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.