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Finding the Fourth Proportional to 296,001.38, 408,473.61 and 161,862.50

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Solution

The fourth proportional to 296,001.38, 408,473.61 and 161,862.50 is: 223,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,001.38 : 408,473.61 = 161,862.50 : x
  2. Step 2: Convert to fraction form
    296,001.38/408,473.61 = 161,862.50/x
  3. Step 3: Cross multiply
    296,001.38x = 408,473.61 × 161,862.50
  4. Step 4: Simplify right side
    296,001.38x = 66,116,559,698.63
  5. Step 5: Solve for x
    x = 66,116,559,698.63/296,001.38
  6. Step 6: Final answer
    x = 223,365.71

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Why These Related Problems?

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