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Finding the Fourth Proportional to 461,557.30, 636,949.38 and 254,825.86

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Solution

The fourth proportional to 461,557.30, 636,949.38 and 254,825.86 is: 351,659.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,557.30 : 636,949.38 = 254,825.86 : x
  2. Step 2: Convert to fraction form
    461,557.30/636,949.38 = 254,825.86/x
  3. Step 3: Cross multiply
    461,557.30x = 636,949.38 × 254,825.86
  4. Step 4: Simplify right side
    461,557.30x = 162,311,173,534.97
  5. Step 5: Solve for x
    x = 162,311,173,534.97/461,557.30
  6. Step 6: Final answer
    x = 351,659.86

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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.