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Finding the Fourth Proportional to 702,382.40, 1,053,466.68 and 229,067

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Solution

The fourth proportional to 702,382.40, 1,053,466.68 and 229,067 is: 343,565.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,382.40 : 1,053,466.68 = 229,067 : x
  2. Step 2: Convert to fraction form
    702,382.40/1,053,466.68 = 229,067/x
  3. Step 3: Cross multiply
    702,382.40x = 1,053,466.68 × 229,067
  4. Step 4: Simplify right side
    702,382.40x = 241,314,451,987.56
  5. Step 5: Solve for x
    x = 241,314,451,987.56/702,382.40
  6. Step 6: Final answer
    x = 343,565.63

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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.