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Finding the Fourth Proportional to 472,223.20, 708,507.60 and 191,768.80

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Solution

The fourth proportional to 472,223.20, 708,507.60 and 191,768.80 is: 287,723.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,223.20 : 708,507.60 = 191,768.80 : x
  2. Step 2: Convert to fraction form
    472,223.20/708,507.60 = 191,768.80/x
  3. Step 3: Cross multiply
    472,223.20x = 708,507.60 × 191,768.80
  4. Step 4: Simplify right side
    472,223.20x = 135,869,652,242.88
  5. Step 5: Solve for x
    x = 135,869,652,242.88/472,223.20
  6. Step 6: Final answer
    x = 287,723.37

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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.