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Finding the Fourth Proportional to 269,546.10, 404,319.15 and 164,570.10

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Solution

The fourth proportional to 269,546.10, 404,319.15 and 164,570.10 is: 246,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,546.10 : 404,319.15 = 164,570.10 : x
  2. Step 2: Convert to fraction form
    269,546.10/404,319.15 = 164,570.10/x
  3. Step 3: Cross multiply
    269,546.10x = 404,319.15 × 164,570.10
  4. Step 4: Simplify right side
    269,546.10x = 66,538,842,947.42
  5. Step 5: Solve for x
    x = 66,538,842,947.42/269,546.10
  6. Step 6: Final answer
    x = 246,855.15

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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.