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Finding the Fourth Proportional to 314,729.73, 472,234.17 and 164,934.44

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Solution

The fourth proportional to 314,729.73, 472,234.17 and 164,934.44 is: 247,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,729.73 : 472,234.17 = 164,934.44 : x
  2. Step 2: Convert to fraction form
    314,729.73/472,234.17 = 164,934.44/x
  3. Step 3: Cross multiply
    314,729.73x = 472,234.17 × 164,934.44
  4. Step 4: Simplify right side
    314,729.73x = 77,887,676,016.64
  5. Step 5: Solve for x
    x = 77,887,676,016.64/314,729.73
  6. Step 6: Final answer
    x = 247,474.80

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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.