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Finding the Fourth Proportional to 538,359.26, 807,259.52 and 159,230.16

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Solution

The fourth proportional to 538,359.26, 807,259.52 and 159,230.16 is: 238,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,359.26 : 807,259.52 = 159,230.16 : x
  2. Step 2: Convert to fraction form
    538,359.26/807,259.52 = 159,230.16/x
  3. Step 3: Cross multiply
    538,359.26x = 807,259.52 × 159,230.16
  4. Step 4: Simplify right side
    538,359.26x = 128,540,062,531.12
  5. Step 5: Solve for x
    x = 128,540,062,531.12/538,359.26
  6. Step 6: Final answer
    x = 238,762.61

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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.