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Finding the Fourth Proportional to 415,197.90, 622,701.27 and 162,484.38

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Solution

The fourth proportional to 415,197.90, 622,701.27 and 162,484.38 is: 243,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,197.90 : 622,701.27 = 162,484.38 : x
  2. Step 2: Convert to fraction form
    415,197.90/622,701.27 = 162,484.38/x
  3. Step 3: Cross multiply
    415,197.90x = 622,701.27 × 162,484.38
  4. Step 4: Simplify right side
    415,197.90x = 101,179,229,781.16
  5. Step 5: Solve for x
    x = 101,179,229,781.16/415,197.90
  6. Step 6: Final answer
    x = 243,689.17

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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.