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Finding the Fourth Proportional to 541,765.96, 747,572.93 and 312,398.61

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Solution

The fourth proportional to 541,765.96, 747,572.93 and 312,398.61 is: 431,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,765.96 : 747,572.93 = 312,398.61 : x
  2. Step 2: Convert to fraction form
    541,765.96/747,572.93 = 312,398.61/x
  3. Step 3: Cross multiply
    541,765.96x = 747,572.93 × 312,398.61
  4. Step 4: Simplify right side
    541,765.96x = 233,540,744,205.63
  5. Step 5: Solve for x
    x = 233,540,744,205.63/541,765.96
  6. Step 6: Final answer
    x = 431,073.12

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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.