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Finding the Fourth Proportional to 538,995.76, 808,574.38 and 174,135.44

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Solution

The fourth proportional to 538,995.76, 808,574.38 and 174,135.44 is: 261,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,995.76 : 808,574.38 = 174,135.44 : x
  2. Step 2: Convert to fraction form
    538,995.76/808,574.38 = 174,135.44/x
  3. Step 3: Cross multiply
    538,995.76x = 808,574.38 × 174,135.44
  4. Step 4: Simplify right side
    538,995.76x = 140,801,457,020.13
  5. Step 5: Solve for x
    x = 140,801,457,020.13/538,995.76
  6. Step 6: Final answer
    x = 261,229.25

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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.