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Finding the Fourth Proportional to 269,506.20, 404,259.30 and 185,525.40

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Solution

The fourth proportional to 269,506.20, 404,259.30 and 185,525.40 is: 278,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,506.20 : 404,259.30 = 185,525.40 : x
  2. Step 2: Convert to fraction form
    269,506.20/404,259.30 = 185,525.40/x
  3. Step 3: Cross multiply
    269,506.20x = 404,259.30 × 185,525.40
  4. Step 4: Simplify right side
    269,506.20x = 75,000,368,336.22
  5. Step 5: Solve for x
    x = 75,000,368,336.22/269,506.20
  6. Step 6: Final answer
    x = 278,288.10

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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.