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Finding the Fourth Proportional to 280,167.97, 386,624.14 and 152,843.53

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Solution

The fourth proportional to 280,167.97, 386,624.14 and 152,843.53 is: 210,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,167.97 : 386,624.14 = 152,843.53 : x
  2. Step 2: Convert to fraction form
    280,167.97/386,624.14 = 152,843.53/x
  3. Step 3: Cross multiply
    280,167.97x = 386,624.14 × 152,843.53
  4. Step 4: Simplify right side
    280,167.97x = 59,092,998,340.81
  5. Step 5: Solve for x
    x = 59,092,998,340.81/280,167.97
  6. Step 6: Final answer
    x = 210,919.89

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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.