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Finding the Fourth Proportional to 537,874.80, 806,205.28 and 238,315.92

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Solution

The fourth proportional to 537,874.80, 806,205.28 and 238,315.92 is: 357,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,874.80 : 806,205.28 = 238,315.92 : x
  2. Step 2: Convert to fraction form
    537,874.80/806,205.28 = 238,315.92/x
  3. Step 3: Cross multiply
    537,874.80x = 806,205.28 × 238,315.92
  4. Step 4: Simplify right side
    537,874.80x = 192,131,553,012.06
  5. Step 5: Solve for x
    x = 192,131,553,012.06/537,874.80
  6. Step 6: Final answer
    x = 357,204.97

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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.