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Finding the Fourth Proportional to 395,420.58, 593,147.25 and 114,937.83

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Solution

The fourth proportional to 395,420.58, 593,147.25 and 114,937.83 is: 172,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,420.58 : 593,147.25 = 114,937.83 : x
  2. Step 2: Convert to fraction form
    395,420.58/593,147.25 = 114,937.83/x
  3. Step 3: Cross multiply
    395,420.58x = 593,147.25 × 114,937.83
  4. Step 4: Simplify right side
    395,420.58x = 68,175,057,785.47
  5. Step 5: Solve for x
    x = 68,175,057,785.47/395,420.58
  6. Step 6: Final answer
    x = 172,411.51

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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.