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Finding the Fourth Proportional to 269,615.70, 404,423.55 and 194,966.10

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Solution

The fourth proportional to 269,615.70, 404,423.55 and 194,966.10 is: 292,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,615.70 : 404,423.55 = 194,966.10 : x
  2. Step 2: Convert to fraction form
    269,615.70/404,423.55 = 194,966.10/x
  3. Step 3: Cross multiply
    269,615.70x = 404,423.55 × 194,966.10
  4. Step 4: Simplify right side
    269,615.70x = 78,848,882,291.66
  5. Step 5: Solve for x
    x = 78,848,882,291.66/269,615.70
  6. Step 6: Final answer
    x = 292,449.15

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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.