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Finding the Fourth Proportional to 337,383.78, 465,590.13 and 194,140.98

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Solution

The fourth proportional to 337,383.78, 465,590.13 and 194,140.98 is: 267,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,383.78 : 465,590.13 = 194,140.98 : x
  2. Step 2: Convert to fraction form
    337,383.78/465,590.13 = 194,140.98/x
  3. Step 3: Cross multiply
    337,383.78x = 465,590.13 × 194,140.98
  4. Step 4: Simplify right side
    337,383.78x = 90,390,124,116.53
  5. Step 5: Solve for x
    x = 90,390,124,116.53/337,383.78
  6. Step 6: Final answer
    x = 267,914.85

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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.