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Finding the Fourth Proportional to 276,003.40, 414,005.10 and 231,716.65

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Solution

The fourth proportional to 276,003.40, 414,005.10 and 231,716.65 is: 347,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,003.40 : 414,005.10 = 231,716.65 : x
  2. Step 2: Convert to fraction form
    276,003.40/414,005.10 = 231,716.65/x
  3. Step 3: Cross multiply
    276,003.40x = 414,005.10 × 231,716.65
  4. Step 4: Simplify right side
    276,003.40x = 95,931,874,854.92
  5. Step 5: Solve for x
    x = 95,931,874,854.92/276,003.40
  6. Step 6: Final answer
    x = 347,574.98

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Similar ratio
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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.