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Finding the Fourth Proportional to 299,565.16, 413,400.10 and 163,601

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Solution

The fourth proportional to 299,565.16, 413,400.10 and 163,601 is: 225,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,565.16 : 413,400.10 = 163,601 : x
  2. Step 2: Convert to fraction form
    299,565.16/413,400.10 = 163,601/x
  3. Step 3: Cross multiply
    299,565.16x = 413,400.10 × 163,601
  4. Step 4: Simplify right side
    299,565.16x = 67,632,669,760.10
  5. Step 5: Solve for x
    x = 67,632,669,760.10/299,565.16
  6. Step 6: Final answer
    x = 225,769.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.