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Finding the Fourth Proportional to 517,874.08, 714,257.04 and 338,991.52

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Solution

The fourth proportional to 517,874.08, 714,257.04 and 338,991.52 is: 467,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,874.08 : 714,257.04 = 338,991.52 : x
  2. Step 2: Convert to fraction form
    517,874.08/714,257.04 = 338,991.52/x
  3. Step 3: Cross multiply
    517,874.08x = 714,257.04 × 338,991.52
  4. Step 4: Simplify right side
    517,874.08x = 242,127,079,660.30
  5. Step 5: Solve for x
    x = 242,127,079,660.30/517,874.08
  6. Step 6: Final answer
    x = 467,540.45

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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.