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Finding the Fourth Proportional to 377,760.24, 566,549.64 and 111,448.56

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Solution

The fourth proportional to 377,760.24, 566,549.64 and 111,448.56 is: 167,146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,760.24 : 566,549.64 = 111,448.56 : x
  2. Step 2: Convert to fraction form
    377,760.24/566,549.64 = 111,448.56/x
  3. Step 3: Cross multiply
    377,760.24x = 566,549.64 × 111,448.56
  4. Step 4: Simplify right side
    377,760.24x = 63,141,141,546.52
  5. Step 5: Solve for x
    x = 63,141,141,546.52/377,760.24
  6. Step 6: Final answer
    x = 167,146.08

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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.