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Finding the Fourth Proportional to 296,871.44, 445,263.96 and 86,452.88

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Solution

The fourth proportional to 296,871.44, 445,263.96 and 86,452.88 is: 129,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,871.44 : 445,263.96 = 86,452.88 : x
  2. Step 2: Convert to fraction form
    296,871.44/445,263.96 = 86,452.88/x
  3. Step 3: Cross multiply
    296,871.44x = 445,263.96 × 86,452.88
  4. Step 4: Simplify right side
    296,871.44x = 38,494,351,702.20
  5. Step 5: Solve for x
    x = 38,494,351,702.20/296,871.44
  6. Step 6: Final answer
    x = 129,666.74

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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.