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Finding the Fourth Proportional to 509,571.92, 764,665.08 and 177,381.20

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Solution

The fourth proportional to 509,571.92, 764,665.08 and 177,381.20 is: 266,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,571.92 : 764,665.08 = 177,381.20 : x
  2. Step 2: Convert to fraction form
    509,571.92/764,665.08 = 177,381.20/x
  3. Step 3: Cross multiply
    509,571.92x = 764,665.08 × 177,381.20
  4. Step 4: Simplify right side
    509,571.92x = 135,637,209,488.50
  5. Step 5: Solve for x
    x = 135,637,209,488.50/509,571.92
  6. Step 6: Final answer
    x = 266,178.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.