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Finding the Fourth Proportional to 283,502.20, 425,909.40 and 194,928.70

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Solution

The fourth proportional to 283,502.20, 425,909.40 and 194,928.70 is: 292,844.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,502.20 : 425,909.40 = 194,928.70 : x
  2. Step 2: Convert to fraction form
    283,502.20/425,909.40 = 194,928.70/x
  3. Step 3: Cross multiply
    283,502.20x = 425,909.40 × 194,928.70
  4. Step 4: Simplify right side
    283,502.20x = 83,021,965,659.78
  5. Step 5: Solve for x
    x = 83,021,965,659.78/283,502.20
  6. Step 6: Final answer
    x = 292,844.17

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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.