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Finding the Fourth Proportional to 393,469.40, 590,204.10 and 156,981.80

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Solution

The fourth proportional to 393,469.40, 590,204.10 and 156,981.80 is: 235,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,469.40 : 590,204.10 = 156,981.80 : x
  2. Step 2: Convert to fraction form
    393,469.40/590,204.10 = 156,981.80/x
  3. Step 3: Cross multiply
    393,469.40x = 590,204.10 × 156,981.80
  4. Step 4: Simplify right side
    393,469.40x = 92,651,301,985.38
  5. Step 5: Solve for x
    x = 92,651,301,985.38/393,469.40
  6. Step 6: Final answer
    x = 235,472.70

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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.