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Finding the Fourth Proportional to 395,369.85, 593,049.42 and 95,853

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Solution

The fourth proportional to 395,369.85, 593,049.42 and 95,853 is: 143,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,369.85 : 593,049.42 = 95,853 : x
  2. Step 2: Convert to fraction form
    395,369.85/593,049.42 = 95,853/x
  3. Step 3: Cross multiply
    395,369.85x = 593,049.42 × 95,853
  4. Step 4: Simplify right side
    395,369.85x = 56,845,566,055.26
  5. Step 5: Solve for x
    x = 56,845,566,055.26/395,369.85
  6. Step 6: Final answer
    x = 143,778.20

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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.