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Finding the Fourth Proportional to 461,062.32, 636,283.80 and 259,854

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Solution

The fourth proportional to 461,062.32, 636,283.80 and 259,854 is: 358,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,062.32 : 636,283.80 = 259,854 : x
  2. Step 2: Convert to fraction form
    461,062.32/636,283.80 = 259,854/x
  3. Step 3: Cross multiply
    461,062.32x = 636,283.80 × 259,854
  4. Step 4: Simplify right side
    461,062.32x = 165,340,890,565.20
  5. Step 5: Solve for x
    x = 165,340,890,565.20/461,062.32
  6. Step 6: Final answer
    x = 358,608.55

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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.