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Finding the Fourth Proportional to 508,908.46, 762,200.01 and 242,855.80

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Solution

The fourth proportional to 508,908.46, 762,200.01 and 242,855.80 is: 363,728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,908.46 : 762,200.01 = 242,855.80 : x
  2. Step 2: Convert to fraction form
    508,908.46/762,200.01 = 242,855.80/x
  3. Step 3: Cross multiply
    508,908.46x = 762,200.01 × 242,855.80
  4. Step 4: Simplify right side
    508,908.46x = 185,104,693,188.56
  5. Step 5: Solve for x
    x = 185,104,693,188.56/508,908.46
  6. Step 6: Final answer
    x = 363,728.86

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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.