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Finding the Fourth Proportional to 384,207.80, 576,311.70 and 207,060.80

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Solution

The fourth proportional to 384,207.80, 576,311.70 and 207,060.80 is: 310,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,207.80 : 576,311.70 = 207,060.80 : x
  2. Step 2: Convert to fraction form
    384,207.80/576,311.70 = 207,060.80/x
  3. Step 3: Cross multiply
    384,207.80x = 576,311.70 × 207,060.80
  4. Step 4: Simplify right side
    384,207.80x = 119,331,561,651.36
  5. Step 5: Solve for x
    x = 119,331,561,651.36/384,207.80
  6. Step 6: Final answer
    x = 310,591.20

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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.