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Finding the Fourth Proportional to 292,642.80, 438,964.20 and 71,026.80

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Solution

The fourth proportional to 292,642.80, 438,964.20 and 71,026.80 is: 106,540.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,642.80 : 438,964.20 = 71,026.80 : x
  2. Step 2: Convert to fraction form
    292,642.80/438,964.20 = 71,026.80/x
  3. Step 3: Cross multiply
    292,642.80x = 438,964.20 × 71,026.80
  4. Step 4: Simplify right side
    292,642.80x = 31,178,222,440.56
  5. Step 5: Solve for x
    x = 31,178,222,440.56/292,642.80
  6. Step 6: Final answer
    x = 106,540.20

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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.