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Finding the Fourth Proportional to 418,585.20, 628,223.40 and 194,290.80

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Solution

The fourth proportional to 418,585.20, 628,223.40 and 194,290.80 is: 291,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,585.20 : 628,223.40 = 194,290.80 : x
  2. Step 2: Convert to fraction form
    418,585.20/628,223.40 = 194,290.80/x
  3. Step 3: Cross multiply
    418,585.20x = 628,223.40 × 194,290.80
  4. Step 4: Simplify right side
    418,585.20x = 122,058,026,964.72
  5. Step 5: Solve for x
    x = 122,058,026,964.72/418,585.20
  6. Step 6: Final answer
    x = 291,596.61

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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.