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Finding the Fourth Proportional to 432,998.16, 649,331.10 and 148,635.69

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Solution

The fourth proportional to 432,998.16, 649,331.10 and 148,635.69 is: 222,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,998.16 : 649,331.10 = 148,635.69 : x
  2. Step 2: Convert to fraction form
    432,998.16/649,331.10 = 148,635.69/x
  3. Step 3: Cross multiply
    432,998.16x = 649,331.10 × 148,635.69
  4. Step 4: Simplify right side
    432,998.16x = 96,513,776,086.96
  5. Step 5: Solve for x
    x = 96,513,776,086.96/432,998.16
  6. Step 6: Final answer
    x = 222,896.50

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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.