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Finding the Fourth Proportional to 822,296.26, 1,233,529 and 310,392.57

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Solution

The fourth proportional to 822,296.26, 1,233,529 and 310,392.57 is: 465,620.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,296.26 : 1,233,529 = 310,392.57 : x
  2. Step 2: Convert to fraction form
    822,296.26/1,233,529 = 310,392.57/x
  3. Step 3: Cross multiply
    822,296.26x = 1,233,529 × 310,392.57
  4. Step 4: Simplify right side
    822,296.26x = 382,878,236,479.53
  5. Step 5: Solve for x
    x = 382,878,236,479.53/822,296.26
  6. Step 6: Final answer
    x = 465,620.79

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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.