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Finding the Fourth Proportional to 367,094.20, 506,590.38 and 214,237.48

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Solution

The fourth proportional to 367,094.20, 506,590.38 and 214,237.48 is: 295,647.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,094.20 : 506,590.38 = 214,237.48 : x
  2. Step 2: Convert to fraction form
    367,094.20/506,590.38 = 214,237.48/x
  3. Step 3: Cross multiply
    367,094.20x = 506,590.38 × 214,237.48
  4. Step 4: Simplify right side
    367,094.20x = 108,530,646,403.44
  5. Step 5: Solve for x
    x = 108,530,646,403.44/367,094.20
  6. Step 6: Final answer
    x = 295,647.95

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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.