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Finding the Fourth Proportional to 537,873.89, 806,553.50 and 313,298.33

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Solution

The fourth proportional to 537,873.89, 806,553.50 and 313,298.33 is: 469,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,873.89 : 806,553.50 = 313,298.33 : x
  2. Step 2: Convert to fraction form
    537,873.89/806,553.50 = 313,298.33/x
  3. Step 3: Cross multiply
    537,873.89x = 806,553.50 × 313,298.33
  4. Step 4: Simplify right side
    537,873.89x = 252,691,859,006.40
  5. Step 5: Solve for x
    x = 252,691,859,006.40/537,873.89
  6. Step 6: Final answer
    x = 469,797.60

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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.