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Finding the Fourth Proportional to 461,236.86, 636,505.83 and 260,031.42

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Solution

The fourth proportional to 461,236.86, 636,505.83 and 260,031.42 is: 358,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,236.86 : 636,505.83 = 260,031.42 : x
  2. Step 2: Convert to fraction form
    461,236.86/636,505.83 = 260,031.42/x
  3. Step 3: Cross multiply
    461,236.86x = 636,505.83 × 260,031.42
  4. Step 4: Simplify right side
    461,236.86x = 165,511,514,813.18
  5. Step 5: Solve for x
    x = 165,511,514,813.18/461,236.86
  6. Step 6: Final answer
    x = 358,842.78

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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.