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Finding the Fourth Proportional to 523,891.98, 785,180.34 and 224,019.81

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Solution

The fourth proportional to 523,891.98, 785,180.34 and 224,019.81 is: 335,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,891.98 : 785,180.34 = 224,019.81 : x
  2. Step 2: Convert to fraction form
    523,891.98/785,180.34 = 224,019.81/x
  3. Step 3: Cross multiply
    523,891.98x = 785,180.34 × 224,019.81
  4. Step 4: Simplify right side
    523,891.98x = 175,895,950,582.54
  5. Step 5: Solve for x
    x = 175,895,950,582.54/523,891.98
  6. Step 6: Final answer
    x = 335,748.51

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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.