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Finding the Fourth Proportional to 415,095.90, 622,643.85 and 273,378.30

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Solution

The fourth proportional to 415,095.90, 622,643.85 and 273,378.30 is: 410,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,095.90 : 622,643.85 = 273,378.30 : x
  2. Step 2: Convert to fraction form
    415,095.90/622,643.85 = 273,378.30/x
  3. Step 3: Cross multiply
    415,095.90x = 622,643.85 × 273,378.30
  4. Step 4: Simplify right side
    415,095.90x = 170,217,317,218.46
  5. Step 5: Solve for x
    x = 170,217,317,218.46/415,095.90
  6. Step 6: Final answer
    x = 410,067.45

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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.