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Finding the Fourth Proportional to 376,002.40, 564,133.20 and 165,791.20

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Solution

The fourth proportional to 376,002.40, 564,133.20 and 165,791.20 is: 248,743.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,002.40 : 564,133.20 = 165,791.20 : x
  2. Step 2: Convert to fraction form
    376,002.40/564,133.20 = 165,791.20/x
  3. Step 3: Cross multiply
    376,002.40x = 564,133.20 × 165,791.20
  4. Step 4: Simplify right side
    376,002.40x = 93,528,320,187.84
  5. Step 5: Solve for x
    x = 93,528,320,187.84/376,002.40
  6. Step 6: Final answer
    x = 248,743.94

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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.