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Finding the Fourth Proportional to 280,906.60, 387,685.14 and 158,422.30

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Solution

The fourth proportional to 280,906.60, 387,685.14 and 158,422.30 is: 218,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,906.60 : 387,685.14 = 158,422.30 : x
  2. Step 2: Convert to fraction form
    280,906.60/387,685.14 = 158,422.30/x
  3. Step 3: Cross multiply
    280,906.60x = 387,685.14 × 158,422.30
  4. Step 4: Simplify right side
    280,906.60x = 61,417,971,554.62
  5. Step 5: Solve for x
    x = 61,417,971,554.62/280,906.60
  6. Step 6: Final answer
    x = 218,641.97

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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.