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Finding the Fourth Proportional to 398,452.88, 597,685.80 and 114,142.32

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Solution

The fourth proportional to 398,452.88, 597,685.80 and 114,142.32 is: 171,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,452.88 : 597,685.80 = 114,142.32 : x
  2. Step 2: Convert to fraction form
    398,452.88/597,685.80 = 114,142.32/x
  3. Step 3: Cross multiply
    398,452.88x = 597,685.80 × 114,142.32
  4. Step 4: Simplify right side
    398,452.88x = 68,221,243,843.06
  5. Step 5: Solve for x
    x = 68,221,243,843.06/398,452.88
  6. Step 6: Final answer
    x = 171,215.34

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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.