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Finding the Fourth Proportional to 508,206.80, 762,612.60 and 192,695.60

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Solution

The fourth proportional to 508,206.80, 762,612.60 and 192,695.60 is: 289,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,206.80 : 762,612.60 = 192,695.60 : x
  2. Step 2: Convert to fraction form
    508,206.80/762,612.60 = 192,695.60/x
  3. Step 3: Cross multiply
    508,206.80x = 762,612.60 × 192,695.60
  4. Step 4: Simplify right side
    508,206.80x = 146,952,092,524.56
  5. Step 5: Solve for x
    x = 146,952,092,524.56/508,206.80
  6. Step 6: Final answer
    x = 289,158.06

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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.