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Finding the Fourth Proportional to 543,858.69, 814,041.17 and 290,505.68

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Solution

The fourth proportional to 543,858.69, 814,041.17 and 290,505.68 is: 434,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,858.69 : 814,041.17 = 290,505.68 : x
  2. Step 2: Convert to fraction form
    543,858.69/814,041.17 = 290,505.68/x
  3. Step 3: Cross multiply
    543,858.69x = 814,041.17 × 290,505.68
  4. Step 4: Simplify right side
    543,858.69x = 236,483,583,638.85
  5. Step 5: Solve for x
    x = 236,483,583,638.85/543,858.69
  6. Step 6: Final answer
    x = 434,825.42

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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.