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Finding the Fourth Proportional to 280,284.48, 386,801.58 and 159,422.66

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Solution

The fourth proportional to 280,284.48, 386,801.58 and 159,422.66 is: 220,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,284.48 : 386,801.58 = 159,422.66 : x
  2. Step 2: Convert to fraction form
    280,284.48/386,801.58 = 159,422.66/x
  3. Step 3: Cross multiply
    280,284.48x = 386,801.58 × 159,422.66
  4. Step 4: Simplify right side
    280,284.48x = 61,664,934,841.79
  5. Step 5: Solve for x
    x = 61,664,934,841.79/280,284.48
  6. Step 6: Final answer
    x = 220,008.38

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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.