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Finding the Fourth Proportional to 283,726.38, 391,569.99 and 211,981.86

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Solution

The fourth proportional to 283,726.38, 391,569.99 and 211,981.86 is: 292,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,726.38 : 391,569.99 = 211,981.86 : x
  2. Step 2: Convert to fraction form
    283,726.38/391,569.99 = 211,981.86/x
  3. Step 3: Cross multiply
    283,726.38x = 391,569.99 × 211,981.86
  4. Step 4: Simplify right side
    283,726.38x = 83,005,734,800.38
  5. Step 5: Solve for x
    x = 83,005,734,800.38/283,726.38
  6. Step 6: Final answer
    x = 292,555.58

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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.