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Finding the Fourth Proportional to 276,715.44, 415,030.32 and 177,568.92

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Solution

The fourth proportional to 276,715.44, 415,030.32 and 177,568.92 is: 266,325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,715.44 : 415,030.32 = 177,568.92 : x
  2. Step 2: Convert to fraction form
    276,715.44/415,030.32 = 177,568.92/x
  3. Step 3: Cross multiply
    276,715.44x = 415,030.32 × 177,568.92
  4. Step 4: Simplify right side
    276,715.44x = 73,696,485,689.65
  5. Step 5: Solve for x
    x = 73,696,485,689.65/276,715.44
  6. Step 6: Final answer
    x = 266,325.89

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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.