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Finding the Fourth Proportional to 523,091.31, 721,863.11 and 293,648.53

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Solution

The fourth proportional to 523,091.31, 721,863.11 and 293,648.53 is: 405,233.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,091.31 : 721,863.11 = 293,648.53 : x
  2. Step 2: Convert to fraction form
    523,091.31/721,863.11 = 293,648.53/x
  3. Step 3: Cross multiply
    523,091.31x = 721,863.11 × 293,648.53
  4. Step 4: Simplify right side
    523,091.31x = 211,974,042,374.17
  5. Step 5: Solve for x
    x = 211,974,042,374.17/523,091.31
  6. Step 6: Final answer
    x = 405,233.35

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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.