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Finding the Fourth Proportional to 353,154, 487,244.79 and 200,167.68

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Solution

The fourth proportional to 353,154, 487,244.79 and 200,167.68 is: 276,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,154 : 487,244.79 = 200,167.68 : x
  2. Step 2: Convert to fraction form
    353,154/487,244.79 = 200,167.68/x
  3. Step 3: Cross multiply
    353,154x = 487,244.79 × 200,167.68
  4. Step 4: Simplify right side
    353,154x = 97,530,659,206.39
  5. Step 5: Solve for x
    x = 97,530,659,206.39/353,154
  6. Step 6: Final answer
    x = 276,170.34

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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.