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Finding the Fourth Proportional to 471,227.76, 650,245.76 and 280,204.24

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Solution

The fourth proportional to 471,227.76, 650,245.76 and 280,204.24 is: 386,652.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,227.76 : 650,245.76 = 280,204.24 : x
  2. Step 2: Convert to fraction form
    471,227.76/650,245.76 = 280,204.24/x
  3. Step 3: Cross multiply
    471,227.76x = 650,245.76 × 280,204.24
  4. Step 4: Simplify right side
    471,227.76x = 182,201,618,994.02
  5. Step 5: Solve for x
    x = 182,201,618,994.02/471,227.76
  6. Step 6: Final answer
    x = 386,652.98

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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.