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Finding the Fourth Proportional to 472,224.20, 708,509.10 and 191,769.80

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Solution

The fourth proportional to 472,224.20, 708,509.10 and 191,769.80 is: 287,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,224.20 : 708,509.10 = 191,769.80 : x
  2. Step 2: Convert to fraction form
    472,224.20/708,509.10 = 191,769.80/x
  3. Step 3: Cross multiply
    472,224.20x = 708,509.10 × 191,769.80
  4. Step 4: Simplify right side
    472,224.20x = 135,870,648,405.18
  5. Step 5: Solve for x
    x = 135,870,648,405.18/472,224.20
  6. Step 6: Final answer
    x = 287,724.87

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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.