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Finding the Fourth Proportional to 471,214.88, 707,049.36 and 234,578.40

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Solution

The fourth proportional to 471,214.88, 707,049.36 and 234,578.40 is: 351,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,214.88 : 707,049.36 = 234,578.40 : x
  2. Step 2: Convert to fraction form
    471,214.88/707,049.36 = 234,578.40/x
  3. Step 3: Cross multiply
    471,214.88x = 707,049.36 × 234,578.40
  4. Step 4: Simplify right side
    471,214.88x = 165,858,507,589.82
  5. Step 5: Solve for x
    x = 165,858,507,589.82/471,214.88
  6. Step 6: Final answer
    x = 351,980.62

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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.