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Finding the Fourth Proportional to 509,572.92, 764,376.66 and 135,596.28

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Solution

The fourth proportional to 509,572.92, 764,376.66 and 135,596.28 is: 203,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,572.92 : 764,376.66 = 135,596.28 : x
  2. Step 2: Convert to fraction form
    509,572.92/764,376.66 = 135,596.28/x
  3. Step 3: Cross multiply
    509,572.92x = 764,376.66 × 135,596.28
  4. Step 4: Simplify right side
    509,572.92x = 103,646,631,614.83
  5. Step 5: Solve for x
    x = 103,646,631,614.83/509,572.92
  6. Step 6: Final answer
    x = 203,399.02

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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.