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Finding the Fourth Proportional to 417,936.64, 627,011.04 and 193,458.88

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Solution

The fourth proportional to 417,936.64, 627,011.04 and 193,458.88 is: 290,237.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,936.64 : 627,011.04 = 193,458.88 : x
  2. Step 2: Convert to fraction form
    417,936.64/627,011.04 = 193,458.88/x
  3. Step 3: Cross multiply
    417,936.64x = 627,011.04 × 193,458.88
  4. Step 4: Simplify right side
    417,936.64x = 121,300,853,546.04
  5. Step 5: Solve for x
    x = 121,300,853,546.04/417,936.64
  6. Step 6: Final answer
    x = 290,237.42

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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.