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Finding the Fourth Proportional to 764,432.70, 1,146,879.45 and 409,616.70

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Solution

The fourth proportional to 764,432.70, 1,146,879.45 and 409,616.70 is: 614,548.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,432.70 : 1,146,879.45 = 409,616.70 : x
  2. Step 2: Convert to fraction form
    764,432.70/1,146,879.45 = 409,616.70/x
  3. Step 3: Cross multiply
    764,432.70x = 1,146,879.45 × 409,616.70
  4. Step 4: Simplify right side
    764,432.70x = 469,780,975,606.82
  5. Step 5: Solve for x
    x = 469,780,975,606.82/764,432.70
  6. Step 6: Final answer
    x = 614,548.51

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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.