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Finding the Fourth Proportional to 292,975.34, 439,424.12 and 82,630.22

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Solution

The fourth proportional to 292,975.34, 439,424.12 and 82,630.22 is: 123,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,975.34 : 439,424.12 = 82,630.22 : x
  2. Step 2: Convert to fraction form
    292,975.34/439,424.12 = 82,630.22/x
  3. Step 3: Cross multiply
    292,975.34x = 439,424.12 × 82,630.22
  4. Step 4: Simplify right side
    292,975.34x = 36,309,711,708.91
  5. Step 5: Solve for x
    x = 36,309,711,708.91/292,975.34
  6. Step 6: Final answer
    x = 123,934.36

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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.