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Finding the Fourth Proportional to 417,304.38, 576,103.32 and 326,467.32

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Solution

The fourth proportional to 417,304.38, 576,103.32 and 326,467.32 is: 450,699.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,304.38 : 576,103.32 = 326,467.32 : x
  2. Step 2: Convert to fraction form
    417,304.38/576,103.32 = 326,467.32/x
  3. Step 3: Cross multiply
    417,304.38x = 576,103.32 × 326,467.32
  4. Step 4: Simplify right side
    417,304.38x = 188,078,906,923.50
  5. Step 5: Solve for x
    x = 188,078,906,923.50/417,304.38
  6. Step 6: Final answer
    x = 450,699.58

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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.