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Finding the Fourth Proportional to 276,352.37, 413,670.47 and 149,678.00

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Solution

The fourth proportional to 276,352.37, 413,670.47 and 149,678.00 is: 224,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,352.37 : 413,670.47 = 149,678.00 : x
  2. Step 2: Convert to fraction form
    276,352.37/413,670.47 = 149,678.00/x
  3. Step 3: Cross multiply
    276,352.37x = 413,670.47 × 149,678.00
  4. Step 4: Simplify right side
    276,352.37x = 61,917,365,791.92
  5. Step 5: Solve for x
    x = 61,917,365,791.92/276,352.37
  6. Step 6: Final answer
    x = 224,052.23

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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.