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Finding the Fourth Proportional to 542,813.38, 749,083.06 and 316,502.62

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Solution

The fourth proportional to 542,813.38, 749,083.06 and 316,502.62 is: 436,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,813.38 : 749,083.06 = 316,502.62 : x
  2. Step 2: Convert to fraction form
    542,813.38/749,083.06 = 316,502.62/x
  3. Step 3: Cross multiply
    542,813.38x = 749,083.06 × 316,502.62
  4. Step 4: Simplify right side
    542,813.38x = 237,086,751,087.62
  5. Step 5: Solve for x
    x = 237,086,751,087.62/542,813.38
  6. Step 6: Final answer
    x = 436,773.96

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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.