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Finding the Fourth Proportional to 564,764.16, 846,958.32 and 227,717.76

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Solution

The fourth proportional to 564,764.16, 846,958.32 and 227,717.76 is: 341,500.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,764.16 : 846,958.32 = 227,717.76 : x
  2. Step 2: Convert to fraction form
    564,764.16/846,958.32 = 227,717.76/x
  3. Step 3: Cross multiply
    564,764.16x = 846,958.32 × 227,717.76
  4. Step 4: Simplify right side
    564,764.16x = 192,867,451,443.76
  5. Step 5: Solve for x
    x = 192,867,451,443.76/564,764.16
  6. Step 6: Final answer
    x = 341,500.87

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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.