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Finding the Fourth Proportional to 418,350.72, 577,327.68 and 227,364.24

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Solution

The fourth proportional to 418,350.72, 577,327.68 and 227,364.24 is: 313,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,350.72 : 577,327.68 = 227,364.24 : x
  2. Step 2: Convert to fraction form
    418,350.72/577,327.68 = 227,364.24/x
  3. Step 3: Cross multiply
    418,350.72x = 577,327.68 × 227,364.24
  4. Step 4: Simplify right side
    418,350.72x = 131,263,669,194.16
  5. Step 5: Solve for x
    x = 131,263,669,194.16/418,350.72
  6. Step 6: Final answer
    x = 313,764.65

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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.