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Finding the Fourth Proportional to 413,227.35, 620,080.34 and 173,319.90

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Solution

The fourth proportional to 413,227.35, 620,080.34 and 173,319.90 is: 260,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,227.35 : 620,080.34 = 173,319.90 : x
  2. Step 2: Convert to fraction form
    413,227.35/620,080.34 = 173,319.90/x
  3. Step 3: Cross multiply
    413,227.35x = 620,080.34 × 173,319.90
  4. Step 4: Simplify right side
    413,227.35x = 107,472,263,304.28
  5. Step 5: Solve for x
    x = 107,472,263,304.28/413,227.35
  6. Step 6: Final answer
    x = 260,080.23

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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.