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Finding the Fourth Proportional to 537,932.16, 806,640.72 and 313,356.48

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Solution

The fourth proportional to 537,932.16, 806,640.72 and 313,356.48 is: 469,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,932.16 : 806,640.72 = 313,356.48 : x
  2. Step 2: Convert to fraction form
    537,932.16/806,640.72 = 313,356.48/x
  3. Step 3: Cross multiply
    537,932.16x = 806,640.72 × 313,356.48
  4. Step 4: Simplify right side
    537,932.16x = 252,766,096,643.87
  5. Step 5: Solve for x
    x = 252,766,096,643.87/537,932.16
  6. Step 6: Final answer
    x = 469,884.71

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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.