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Finding the Fourth Proportional to 283,651.96, 391,569.06 and 202,032.76

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Solution

The fourth proportional to 283,651.96, 391,569.06 and 202,032.76 is: 278,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,651.96 : 391,569.06 = 202,032.76 : x
  2. Step 2: Convert to fraction form
    283,651.96/391,569.06 = 202,032.76/x
  3. Step 3: Cross multiply
    283,651.96x = 391,569.06 × 202,032.76
  4. Step 4: Simplify right side
    283,651.96x = 79,109,777,922.41
  5. Step 5: Solve for x
    x = 79,109,777,922.41/283,651.96
  6. Step 6: Final answer
    x = 278,897.34

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1.5x scale

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.