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Finding the Fourth Proportional to 409,066.48, 564,376.44 and 239,180.32

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Solution

The fourth proportional to 409,066.48, 564,376.44 and 239,180.32 is: 329,989.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,066.48 : 564,376.44 = 239,180.32 : x
  2. Step 2: Convert to fraction form
    409,066.48/564,376.44 = 239,180.32/x
  3. Step 3: Cross multiply
    409,066.48x = 564,376.44 × 239,180.32
  4. Step 4: Simplify right side
    409,066.48x = 134,987,737,519.66
  5. Step 5: Solve for x
    x = 134,987,737,519.66/409,066.48
  6. Step 6: Final answer
    x = 329,989.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.