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Finding the Fourth Proportional to 292,614.30, 438,921.45 and 82,252.24

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Solution

The fourth proportional to 292,614.30, 438,921.45 and 82,252.24 is: 123,378.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,614.30 : 438,921.45 = 82,252.24 : x
  2. Step 2: Convert to fraction form
    292,614.30/438,921.45 = 82,252.24/x
  3. Step 3: Cross multiply
    292,614.30x = 438,921.45 × 82,252.24
  4. Step 4: Simplify right side
    292,614.30x = 36,102,270,251.94
  5. Step 5: Solve for x
    x = 36,102,270,251.94/292,614.30
  6. Step 6: Final answer
    x = 123,378.35

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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.