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Finding the Fourth Proportional to 296,690.43, 444,983.74 and 83,407.64

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Solution

The fourth proportional to 296,690.43, 444,983.74 and 83,407.64 is: 125,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,690.43 : 444,983.74 = 83,407.64 : x
  2. Step 2: Convert to fraction form
    296,690.43/444,983.74 = 83,407.64/x
  3. Step 3: Cross multiply
    296,690.43x = 444,983.74 × 83,407.64
  4. Step 4: Simplify right side
    296,690.43x = 37,115,043,591.77
  5. Step 5: Solve for x
    x = 37,115,043,591.77/296,690.43
  6. Step 6: Final answer
    x = 125,096.87

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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.