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Finding the Fourth Proportional to 534,884.69, 802,451.24 and 155,814.41

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Solution

The fourth proportional to 534,884.69, 802,451.24 and 155,814.41 is: 233,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,884.69 : 802,451.24 = 155,814.41 : x
  2. Step 2: Convert to fraction form
    534,884.69/802,451.24 = 155,814.41/x
  3. Step 3: Cross multiply
    534,884.69x = 802,451.24 × 155,814.41
  4. Step 4: Simplify right side
    534,884.69x = 125,033,466,514.37
  5. Step 5: Solve for x
    x = 125,033,466,514.37/534,884.69
  6. Step 6: Final answer
    x = 233,757.80

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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.