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Finding the Fourth Proportional to 283,464.38, 391,167.88 and 162,598.06

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Solution

The fourth proportional to 283,464.38, 391,167.88 and 162,598.06 is: 224,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,464.38 : 391,167.88 = 162,598.06 : x
  2. Step 2: Convert to fraction form
    283,464.38/391,167.88 = 162,598.06/x
  3. Step 3: Cross multiply
    283,464.38x = 391,167.88 × 162,598.06
  4. Step 4: Simplify right side
    283,464.38x = 63,603,138,422.31
  5. Step 5: Solve for x
    x = 63,603,138,422.31/283,464.38
  6. Step 6: Final answer
    x = 224,377.89

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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.