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Finding the Fourth Proportional to 292,615.50, 438,923.26 and 82,253.44

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Solution

The fourth proportional to 292,615.50, 438,923.26 and 82,253.44 is: 123,380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,615.50 : 438,923.26 = 82,253.44 : x
  2. Step 2: Convert to fraction form
    292,615.50/438,923.26 = 82,253.44/x
  3. Step 3: Cross multiply
    292,615.50x = 438,923.26 × 82,253.44
  4. Step 4: Simplify right side
    292,615.50x = 36,102,948,031.01
  5. Step 5: Solve for x
    x = 36,102,948,031.01/292,615.50
  6. Step 6: Final answer
    x = 123,380.16

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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.