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Finding the Fourth Proportional to 543,857.69, 814,039.67 and 290,504.68

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Solution

The fourth proportional to 543,857.69, 814,039.67 and 290,504.68 is: 434,823.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,857.69 : 814,039.67 = 290,504.68 : x
  2. Step 2: Convert to fraction form
    543,857.69/814,039.67 = 290,504.68/x
  3. Step 3: Cross multiply
    543,857.69x = 814,039.67 × 290,504.68
  4. Step 4: Simplify right side
    543,857.69x = 236,482,332,531.82
  5. Step 5: Solve for x
    x = 236,482,332,531.82/543,857.69
  6. Step 6: Final answer
    x = 434,823.92

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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.