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Finding the Fourth Proportional to 347,906.60, 521,255.10 and 160,533.80

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Solution

The fourth proportional to 347,906.60, 521,255.10 and 160,533.80 is: 240,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,906.60 : 521,255.10 = 160,533.80 : x
  2. Step 2: Convert to fraction form
    347,906.60/521,255.10 = 160,533.80/x
  3. Step 3: Cross multiply
    347,906.60x = 521,255.10 × 160,533.80
  4. Step 4: Simplify right side
    347,906.60x = 83,679,061,972.38
  5. Step 5: Solve for x
    x = 83,679,061,972.38/347,906.60
  6. Step 6: Final answer
    x = 240,521.63

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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.