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Finding the Fourth Proportional to 276,329.63, 414,494.31 and 124,349.06

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Solution

The fourth proportional to 276,329.63, 414,494.31 and 124,349.06 is: 186,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,329.63 : 414,494.31 = 124,349.06 : x
  2. Step 2: Convert to fraction form
    276,329.63/414,494.31 = 124,349.06/x
  3. Step 3: Cross multiply
    276,329.63x = 414,494.31 × 124,349.06
  4. Step 4: Simplify right side
    276,329.63x = 51,541,977,823.85
  5. Step 5: Solve for x
    x = 51,541,977,823.85/276,329.63
  6. Step 6: Final answer
    x = 186,523.53

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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.