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Finding the Fourth Proportional to 276,338.00, 414,507.11 and 98,834.40

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Solution

The fourth proportional to 276,338.00, 414,507.11 and 98,834.40 is: 148,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,338.00 : 414,507.11 = 98,834.40 : x
  2. Step 2: Convert to fraction form
    276,338.00/414,507.11 = 98,834.40/x
  3. Step 3: Cross multiply
    276,338.00x = 414,507.11 × 98,834.40
  4. Step 4: Simplify right side
    276,338.00x = 40,967,561,018.41
  5. Step 5: Solve for x
    x = 40,967,561,018.41/276,338.00
  6. Step 6: Final answer
    x = 148,251.64

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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.