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Finding the Fourth Proportional to 461,340.48, 636,694.38 and 280,010.64

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Solution

The fourth proportional to 461,340.48, 636,694.38 and 280,010.64 is: 386,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,340.48 : 636,694.38 = 280,010.64 : x
  2. Step 2: Convert to fraction form
    461,340.48/636,694.38 = 280,010.64/x
  3. Step 3: Cross multiply
    461,340.48x = 636,694.38 × 280,010.64
  4. Step 4: Simplify right side
    461,340.48x = 178,281,200,828.20
  5. Step 5: Solve for x
    x = 178,281,200,828.20/461,340.48
  6. Step 6: Final answer
    x = 386,441.70

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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.