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Finding the Fourth Proportional to 395,714.52, 593,506.58 and 111,424.77

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Solution

The fourth proportional to 395,714.52, 593,506.58 and 111,424.77 is: 167,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,714.52 : 593,506.58 = 111,424.77 : x
  2. Step 2: Convert to fraction form
    395,714.52/593,506.58 = 111,424.77/x
  3. Step 3: Cross multiply
    395,714.52x = 593,506.58 × 111,424.77
  4. Step 4: Simplify right side
    395,714.52x = 66,131,333,612.86
  5. Step 5: Solve for x
    x = 66,131,333,612.86/395,714.52
  6. Step 6: Final answer
    x = 167,118.79

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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.