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Finding the Fourth Proportional to 417,186.11, 622,271.97 and 378,873.32

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Solution

The fourth proportional to 417,186.11, 622,271.97 and 378,873.32 is: 565,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,186.11 : 622,271.97 = 378,873.32 : x
  2. Step 2: Convert to fraction form
    417,186.11/622,271.97 = 378,873.32/x
  3. Step 3: Cross multiply
    417,186.11x = 622,271.97 × 378,873.32
  4. Step 4: Simplify right side
    417,186.11x = 235,762,244,105.48
  5. Step 5: Solve for x
    x = 235,762,244,105.48/417,186.11
  6. Step 6: Final answer
    x = 565,124.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.