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Finding the Fourth Proportional to 473,229.80, 710,363.10 and 263,277.80

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Solution

The fourth proportional to 473,229.80, 710,363.10 and 263,277.80 is: 395,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,229.80 : 710,363.10 = 263,277.80 : x
  2. Step 2: Convert to fraction form
    473,229.80/710,363.10 = 263,277.80/x
  3. Step 3: Cross multiply
    473,229.80x = 710,363.10 × 263,277.80
  4. Step 4: Simplify right side
    473,229.80x = 187,022,834,169.18
  5. Step 5: Solve for x
    x = 187,022,834,169.18/473,229.80
  6. Step 6: Final answer
    x = 395,205.11

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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.