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Finding the Fourth Proportional to 269,016.80, 403,316.02 and 174,046.32

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Solution

The fourth proportional to 269,016.80, 403,316.02 and 174,046.32 is: 260,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,016.80 : 403,316.02 = 174,046.32 : x
  2. Step 2: Convert to fraction form
    269,016.80/403,316.02 = 174,046.32/x
  3. Step 3: Cross multiply
    269,016.80x = 403,316.02 × 174,046.32
  4. Step 4: Simplify right side
    269,016.80x = 70,195,669,078.05
  5. Step 5: Solve for x
    x = 70,195,669,078.05/269,016.80
  6. Step 6: Final answer
    x = 260,934.15

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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.