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Finding the Fourth Proportional to 509,374.42, 764,060.70 and 135,397.42

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Solution

The fourth proportional to 509,374.42, 764,060.70 and 135,397.42 is: 203,095.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,374.42 : 764,060.70 = 135,397.42 : x
  2. Step 2: Convert to fraction form
    509,374.42/764,060.70 = 135,397.42/x
  3. Step 3: Cross multiply
    509,374.42x = 764,060.70 × 135,397.42
  4. Step 4: Simplify right side
    509,374.42x = 103,451,847,503.39
  5. Step 5: Solve for x
    x = 103,451,847,503.39/509,374.42
  6. Step 6: Final answer
    x = 203,095.88

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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.