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Finding the Fourth Proportional to 538,255.40, 806,411.10 and 313,431.80

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Solution

The fourth proportional to 538,255.40, 806,411.10 and 313,431.80 is: 469,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,255.40 : 806,411.10 = 313,431.80 : x
  2. Step 2: Convert to fraction form
    538,255.40/806,411.10 = 313,431.80/x
  3. Step 3: Cross multiply
    538,255.40x = 806,411.10 × 313,431.80
  4. Step 4: Simplify right side
    538,255.40x = 252,754,882,612.98
  5. Step 5: Solve for x
    x = 252,754,882,612.98/538,255.40
  6. Step 6: Final answer
    x = 469,581.69

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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.