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Finding the Fourth Proportional to 541,876.64, 813,339.84 and 261,590.72

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Solution

The fourth proportional to 541,876.64, 813,339.84 and 261,590.72 is: 392,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,876.64 : 813,339.84 = 261,590.72 : x
  2. Step 2: Convert to fraction form
    541,876.64/813,339.84 = 261,590.72/x
  3. Step 3: Cross multiply
    541,876.64x = 813,339.84 × 261,590.72
  4. Step 4: Simplify right side
    541,876.64x = 212,762,154,350.29
  5. Step 5: Solve for x
    x = 212,762,154,350.29/541,876.64
  6. Step 6: Final answer
    x = 392,639.47

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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.