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Finding the Fourth Proportional to 414,988.80, 622,774.80 and 265,592.40

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Solution

The fourth proportional to 414,988.80, 622,774.80 and 265,592.40 is: 398,575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,988.80 : 622,774.80 = 265,592.40 : x
  2. Step 2: Convert to fraction form
    414,988.80/622,774.80 = 265,592.40/x
  3. Step 3: Cross multiply
    414,988.80x = 622,774.80 × 265,592.40
  4. Step 4: Simplify right side
    414,988.80x = 165,404,253,791.52
  5. Step 5: Solve for x
    x = 165,404,253,791.52/414,988.80
  6. Step 6: Final answer
    x = 398,575.22

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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.