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Finding the Fourth Proportional to 513,013.18, 707,885.82 and 292,256.26

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Solution

The fourth proportional to 513,013.18, 707,885.82 and 292,256.26 is: 403,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,013.18 : 707,885.82 = 292,256.26 : x
  2. Step 2: Convert to fraction form
    513,013.18/707,885.82 = 292,256.26/x
  3. Step 3: Cross multiply
    513,013.18x = 707,885.82 × 292,256.26
  4. Step 4: Simplify right side
    513,013.18x = 206,884,062,260.23
  5. Step 5: Solve for x
    x = 206,884,062,260.23/513,013.18
  6. Step 6: Final answer
    x = 403,272.41

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