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Finding the Fourth Proportional to 509,760.86, 764,591.82 and 154,777.96

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Solution

The fourth proportional to 509,760.86, 764,591.82 and 154,777.96 is: 232,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,760.86 : 764,591.82 = 154,777.96 : x
  2. Step 2: Convert to fraction form
    509,760.86/764,591.82 = 154,777.96/x
  3. Step 3: Cross multiply
    509,760.86x = 764,591.82 × 154,777.96
  4. Step 4: Simplify right side
    509,760.86x = 118,341,962,132.29
  5. Step 5: Solve for x
    x = 118,341,962,132.29/509,760.86
  6. Step 6: Final answer
    x = 232,151.92

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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.