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Finding the Fourth Proportional to 478,470.03, 717,857.46 and 141,512.73

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Solution

The fourth proportional to 478,470.03, 717,857.46 and 141,512.73 is: 212,314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,470.03 : 717,857.46 = 141,512.73 : x
  2. Step 2: Convert to fraction form
    478,470.03/717,857.46 = 141,512.73/x
  3. Step 3: Cross multiply
    478,470.03x = 717,857.46 × 141,512.73
  4. Step 4: Simplify right side
    478,470.03x = 101,585,968,915.47
  5. Step 5: Solve for x
    x = 101,585,968,915.47/478,470.03
  6. Step 6: Final answer
    x = 212,314.17

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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.