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Finding the Fourth Proportional to 283,744.59, 391,570.16 and 156,424.74

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Solution

The fourth proportional to 283,744.59, 391,570.16 and 156,424.74 is: 215,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,744.59 : 391,570.16 = 156,424.74 : x
  2. Step 2: Convert to fraction form
    283,744.59/391,570.16 = 156,424.74/x
  3. Step 3: Cross multiply
    283,744.59x = 391,570.16 × 156,424.74
  4. Step 4: Simplify right side
    283,744.59x = 61,251,260,469.76
  5. Step 5: Solve for x
    x = 61,251,260,469.76/283,744.59
  6. Step 6: Final answer
    x = 215,867.59

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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.