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Finding the Fourth Proportional to 257,539.45, 386,473.20 and 150,923.20

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Solution

The fourth proportional to 257,539.45, 386,473.20 and 150,923.20 is: 226,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,539.45 : 386,473.20 = 150,923.20 : x
  2. Step 2: Convert to fraction form
    257,539.45/386,473.20 = 150,923.20/x
  3. Step 3: Cross multiply
    257,539.45x = 386,473.20 × 150,923.20
  4. Step 4: Simplify right side
    257,539.45x = 58,327,772,058.24
  5. Step 5: Solve for x
    x = 58,327,772,058.24/257,539.45
  6. Step 6: Final answer
    x = 226,480.92

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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.