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Finding the Fourth Proportional to 283,817.32, 424,875.92 and 273,723.56

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Solution

The fourth proportional to 283,817.32, 424,875.92 and 273,723.56 is: 409,765.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,817.32 : 424,875.92 = 273,723.56 : x
  2. Step 2: Convert to fraction form
    283,817.32/424,875.92 = 273,723.56/x
  3. Step 3: Cross multiply
    283,817.32x = 424,875.92 × 273,723.56
  4. Step 4: Simplify right side
    283,817.32x = 116,298,549,380.68
  5. Step 5: Solve for x
    x = 116,298,549,380.68/283,817.32
  6. Step 6: Final answer
    x = 409,765.51

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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.