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Finding the Fourth Proportional to 283,987.60, 391,900.32 and 156,664.24

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Solution

The fourth proportional to 283,987.60, 391,900.32 and 156,664.24 is: 216,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,987.60 : 391,900.32 = 156,664.24 : x
  2. Step 2: Convert to fraction form
    283,987.60/391,900.32 = 156,664.24/x
  3. Step 3: Cross multiply
    283,987.60x = 391,900.32 × 156,664.24
  4. Step 4: Simplify right side
    283,987.60x = 61,396,765,788.56
  5. Step 5: Solve for x
    x = 61,396,765,788.56/283,987.60
  6. Step 6: Final answer
    x = 216,195.23

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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.