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Finding the Fourth Proportional to 392,894.72, 588,637.44 and 238,740.32

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Solution

The fourth proportional to 392,894.72, 588,637.44 and 238,740.32 is: 357,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,894.72 : 588,637.44 = 238,740.32 : x
  2. Step 2: Convert to fraction form
    392,894.72/588,637.44 = 238,740.32/x
  3. Step 3: Cross multiply
    392,894.72x = 588,637.44 × 238,740.32
  4. Step 4: Simplify right side
    392,894.72x = 140,531,490,789.58
  5. Step 5: Solve for x
    x = 140,531,490,789.58/392,894.72
  6. Step 6: Final answer
    x = 357,682.31

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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.