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Finding the Fourth Proportional to 423,602.64, 635,217.24 and 199,026.96

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Solution

The fourth proportional to 423,602.64, 635,217.24 and 199,026.96 is: 298,452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,602.64 : 635,217.24 = 199,026.96 : x
  2. Step 2: Convert to fraction form
    423,602.64/635,217.24 = 199,026.96/x
  3. Step 3: Cross multiply
    423,602.64x = 635,217.24 × 199,026.96
  4. Step 4: Simplify right side
    423,602.64x = 126,425,356,216.79
  5. Step 5: Solve for x
    x = 126,425,356,216.79/423,602.64
  6. Step 6: Final answer
    x = 298,452.71

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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.