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Finding the Fourth Proportional to 300,218.36, 414,352.14 and 172,870.52

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Solution

The fourth proportional to 300,218.36, 414,352.14 and 172,870.52 is: 238,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,218.36 : 414,352.14 = 172,870.52 : x
  2. Step 2: Convert to fraction form
    300,218.36/414,352.14 = 172,870.52/x
  3. Step 3: Cross multiply
    300,218.36x = 414,352.14 × 172,870.52
  4. Step 4: Simplify right side
    300,218.36x = 71,629,269,904.91
  5. Step 5: Solve for x
    x = 71,629,269,904.91/300,218.36
  6. Step 6: Final answer
    x = 238,590.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.