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Finding the Fourth Proportional to 296,427.60, 444,706.20 and 96,757.20

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Solution

The fourth proportional to 296,427.60, 444,706.20 and 96,757.20 is: 145,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,427.60 : 444,706.20 = 96,757.20 : x
  2. Step 2: Convert to fraction form
    296,427.60/444,706.20 = 96,757.20/x
  3. Step 3: Cross multiply
    296,427.60x = 444,706.20 × 96,757.20
  4. Step 4: Simplify right side
    296,427.60x = 43,028,526,734.64
  5. Step 5: Solve for x
    x = 43,028,526,734.64/296,427.60
  6. Step 6: Final answer
    x = 145,156.95

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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.