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Finding the Fourth Proportional to 566,711.82, 782,034.24 and 312,015.42

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Solution

The fourth proportional to 566,711.82, 782,034.24 and 312,015.42 is: 430,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,711.82 : 782,034.24 = 312,015.42 : x
  2. Step 2: Convert to fraction form
    566,711.82/782,034.24 = 312,015.42/x
  3. Step 3: Cross multiply
    566,711.82x = 782,034.24 × 312,015.42
  4. Step 4: Simplify right side
    566,711.82x = 244,006,741,847.98
  5. Step 5: Solve for x
    x = 244,006,741,847.98/566,711.82
  6. Step 6: Final answer
    x = 430,565.82

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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.