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Finding the Fourth Proportional to 472,250.70, 708,548.85 and 191,796.30

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Solution

The fourth proportional to 472,250.70, 708,548.85 and 191,796.30 is: 287,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,250.70 : 708,548.85 = 191,796.30 : x
  2. Step 2: Convert to fraction form
    472,250.70/708,548.85 = 191,796.30/x
  3. Step 3: Cross multiply
    472,250.70x = 708,548.85 × 191,796.30
  4. Step 4: Simplify right side
    472,250.70x = 135,897,047,799.26
  5. Step 5: Solve for x
    x = 135,897,047,799.26/472,250.70
  6. Step 6: Final answer
    x = 287,764.63

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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.