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Finding the Fourth Proportional to 293,382.60, 440,073.96 and 188,865.87

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Solution

The fourth proportional to 293,382.60, 440,073.96 and 188,865.87 is: 283,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,382.60 : 440,073.96 = 188,865.87 : x
  2. Step 2: Convert to fraction form
    293,382.60/440,073.96 = 188,865.87/x
  3. Step 3: Cross multiply
    293,382.60x = 440,073.96 × 188,865.87
  4. Step 4: Simplify right side
    293,382.60x = 83,114,951,319.75
  5. Step 5: Solve for x
    x = 83,114,951,319.75/293,382.60
  6. Step 6: Final answer
    x = 283,298.84

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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.