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Finding the Fourth Proportional to 283,442, 391,115.94 and 162,577.04

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Solution

The fourth proportional to 283,442, 391,115.94 and 162,577.04 is: 224,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,442 : 391,115.94 = 162,577.04 : x
  2. Step 2: Convert to fraction form
    283,442/391,115.94 = 162,577.04/x
  3. Step 3: Cross multiply
    283,442x = 391,115.94 × 162,577.04
  4. Step 4: Simplify right side
    283,442x = 63,586,471,822.02
  5. Step 5: Solve for x
    x = 63,586,471,822.02/283,442
  6. Step 6: Final answer
    x = 224,336.80

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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.