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Finding the Fourth Proportional to 363,112.90, 501,088.60 and 201,964.48

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Solution

The fourth proportional to 363,112.90, 501,088.60 and 201,964.48 is: 278,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,112.90 : 501,088.60 = 201,964.48 : x
  2. Step 2: Convert to fraction form
    363,112.90/501,088.60 = 201,964.48/x
  3. Step 3: Cross multiply
    363,112.90x = 501,088.60 × 201,964.48
  4. Step 4: Simplify right side
    363,112.90x = 101,202,098,532.93
  5. Step 5: Solve for x
    x = 101,202,098,532.93/363,112.90
  6. Step 6: Final answer
    x = 278,706.98

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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.