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Finding the Fourth Proportional to 541,850.27, 813,300.28 and 261,564.35

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Solution

The fourth proportional to 541,850.27, 813,300.28 and 261,564.35 is: 392,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,850.27 : 813,300.28 = 261,564.35 : x
  2. Step 2: Convert to fraction form
    541,850.27/813,300.28 = 261,564.35/x
  3. Step 3: Cross multiply
    541,850.27x = 813,300.28 × 261,564.35
  4. Step 4: Simplify right side
    541,850.27x = 212,730,354,372.61
  5. Step 5: Solve for x
    x = 212,730,354,372.61/541,850.27
  6. Step 6: Final answer
    x = 392,599.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.