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Finding the Fourth Proportional to 283,650.96, 391,567.68 and 202,031.76

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Solution

The fourth proportional to 283,650.96, 391,567.68 and 202,031.76 is: 278,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,650.96 : 391,567.68 = 202,031.76 : x
  2. Step 2: Convert to fraction form
    283,650.96/391,567.68 = 202,031.76/x
  3. Step 3: Cross multiply
    283,650.96x = 391,567.68 × 202,031.76
  4. Step 4: Simplify right side
    283,650.96x = 79,109,107,549.52
  5. Step 5: Solve for x
    x = 79,109,107,549.52/283,650.96
  6. Step 6: Final answer
    x = 278,895.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.