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Finding the Fourth Proportional to 537,850.83, 806,518.92 and 313,275.31

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Solution

The fourth proportional to 537,850.83, 806,518.92 and 313,275.31 is: 469,763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,850.83 : 806,518.92 = 313,275.31 : x
  2. Step 2: Convert to fraction form
    537,850.83/806,518.92 = 313,275.31/x
  3. Step 3: Cross multiply
    537,850.83x = 806,518.92 × 313,275.31
  4. Step 4: Simplify right side
    537,850.83x = 252,662,468,379.02
  5. Step 5: Solve for x
    x = 252,662,468,379.02/537,850.83
  6. Step 6: Final answer
    x = 469,763.09

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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.