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Finding the Fourth Proportional to 472,826.80, 709,240.20 and 192,545.20

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Solution

The fourth proportional to 472,826.80, 709,240.20 and 192,545.20 is: 288,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,826.80 : 709,240.20 = 192,545.20 : x
  2. Step 2: Convert to fraction form
    472,826.80/709,240.20 = 192,545.20/x
  3. Step 3: Cross multiply
    472,826.80x = 709,240.20 × 192,545.20
  4. Step 4: Simplify right side
    472,826.80x = 136,560,796,157.04
  5. Step 5: Solve for x
    x = 136,560,796,157.04/472,826.80
  6. Step 6: Final answer
    x = 288,817.80

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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.