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Finding the Fourth Proportional to 534,883.69, 802,449.74 and 155,813.41

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Solution

The fourth proportional to 534,883.69, 802,449.74 and 155,813.41 is: 233,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,883.69 : 802,449.74 = 155,813.41 : x
  2. Step 2: Convert to fraction form
    534,883.69/802,449.74 = 155,813.41/x
  3. Step 3: Cross multiply
    534,883.69x = 802,449.74 × 155,813.41
  4. Step 4: Simplify right side
    534,883.69x = 125,032,430,343.01
  5. Step 5: Solve for x
    x = 125,032,430,343.01/534,883.69
  6. Step 6: Final answer
    x = 233,756.30

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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.