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Finding the Fourth Proportional to 288,965.70, 432,865.35 and 200,319.30

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Solution

The fourth proportional to 288,965.70, 432,865.35 and 200,319.30 is: 300,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,965.70 : 432,865.35 = 200,319.30 : x
  2. Step 2: Convert to fraction form
    288,965.70/432,865.35 = 200,319.30/x
  3. Step 3: Cross multiply
    288,965.70x = 432,865.35 × 200,319.30
  4. Step 4: Simplify right side
    288,965.70x = 86,711,283,906.26
  5. Step 5: Solve for x
    x = 86,711,283,906.26/288,965.70
  6. Step 6: Final answer
    x = 300,074.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.