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Finding the Fourth Proportional to 283,659.54, 391,448.07 and 156,335.10

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Solution

The fourth proportional to 283,659.54, 391,448.07 and 156,335.10 is: 215,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,659.54 : 391,448.07 = 156,335.10 : x
  2. Step 2: Convert to fraction form
    283,659.54/391,448.07 = 156,335.10/x
  3. Step 3: Cross multiply
    283,659.54x = 391,448.07 × 156,335.10
  4. Step 4: Simplify right side
    283,659.54x = 61,197,073,168.26
  5. Step 5: Solve for x
    x = 61,197,073,168.26/283,659.54
  6. Step 6: Final answer
    x = 215,741.28

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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.