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Finding the Fourth Proportional to 416,331, 574,536.87 and 225,345.96

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Solution

The fourth proportional to 416,331, 574,536.87 and 225,345.96 is: 310,977.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,331 : 574,536.87 = 225,345.96 : x
  2. Step 2: Convert to fraction form
    416,331/574,536.87 = 225,345.96/x
  3. Step 3: Cross multiply
    416,331x = 574,536.87 × 225,345.96
  4. Step 4: Simplify right side
    416,331x = 129,469,562,525.55
  5. Step 5: Solve for x
    x = 129,469,562,525.55/416,331
  6. Step 6: Final answer
    x = 310,977.47

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Why These Related Problems?

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