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Finding the Fourth Proportional to 424,610.11, 586,223.76 and 292,231

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Solution

The fourth proportional to 424,610.11, 586,223.76 and 292,231 is: 403,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,610.11 : 586,223.76 = 292,231 : x
  2. Step 2: Convert to fraction form
    424,610.11/586,223.76 = 292,231/x
  3. Step 3: Cross multiply
    424,610.11x = 586,223.76 × 292,231
  4. Step 4: Simplify right side
    424,610.11x = 171,312,755,608.56
  5. Step 5: Solve for x
    x = 171,312,755,608.56/424,610.11
  6. Step 6: Final answer
    x = 403,458.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.