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Finding the Fourth Proportional to 378,290.64, 567,571.47 and 162,058.66

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Solution

The fourth proportional to 378,290.64, 567,571.47 and 162,058.66 is: 243,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,290.64 : 567,571.47 = 162,058.66 : x
  2. Step 2: Convert to fraction form
    378,290.64/567,571.47 = 162,058.66/x
  3. Step 3: Cross multiply
    378,290.64x = 567,571.47 × 162,058.66
  4. Step 4: Simplify right side
    378,290.64x = 91,979,871,882.43
  5. Step 5: Solve for x
    x = 91,979,871,882.43/378,290.64
  6. Step 6: Final answer
    x = 243,146.04

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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.