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Finding the Fourth Proportional to 283,796.88, 391,656.24 and 162,938.40

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Solution

The fourth proportional to 283,796.88, 391,656.24 and 162,938.40 is: 224,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,796.88 : 391,656.24 = 162,938.40 : x
  2. Step 2: Convert to fraction form
    283,796.88/391,656.24 = 162,938.40/x
  3. Step 3: Cross multiply
    283,796.88x = 391,656.24 × 162,938.40
  4. Step 4: Simplify right side
    283,796.88x = 63,815,841,095.62
  5. Step 5: Solve for x
    x = 63,815,841,095.62/283,796.88
  6. Step 6: Final answer
    x = 224,864.49

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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.