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Finding the Fourth Proportional to 283,474.16, 391,160.76 and 160,958.24

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Solution

The fourth proportional to 283,474.16, 391,160.76 and 160,958.24 is: 222,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,474.16 : 391,160.76 = 160,958.24 : x
  2. Step 2: Convert to fraction form
    283,474.16/391,160.76 = 160,958.24/x
  3. Step 3: Cross multiply
    283,474.16x = 391,160.76 × 160,958.24
  4. Step 4: Simplify right side
    283,474.16x = 62,960,547,486.66
  5. Step 5: Solve for x
    x = 62,960,547,486.66/283,474.16
  6. Step 6: Final answer
    x = 222,103.30

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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.