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Finding the Fourth Proportional to 321,442.47, 482,116.32 and 84,801.78

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Solution

The fourth proportional to 321,442.47, 482,116.32 and 84,801.78 is: 127,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,442.47 : 482,116.32 = 84,801.78 : x
  2. Step 2: Convert to fraction form
    321,442.47/482,116.32 = 84,801.78/x
  3. Step 3: Cross multiply
    321,442.47x = 482,116.32 × 84,801.78
  4. Step 4: Simplify right side
    321,442.47x = 40,884,322,103.05
  5. Step 5: Solve for x
    x = 40,884,322,103.05/321,442.47
  6. Step 6: Final answer
    x = 127,190.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.