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Finding the Fourth Proportional to 538,633.34, 807,701.61 and 159,418.48

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Solution

The fourth proportional to 538,633.34, 807,701.61 and 159,418.48 is: 239,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,633.34 : 807,701.61 = 159,418.48 : x
  2. Step 2: Convert to fraction form
    538,633.34/807,701.61 = 159,418.48/x
  3. Step 3: Cross multiply
    538,633.34x = 807,701.61 × 159,418.48
  4. Step 4: Simplify right side
    538,633.34x = 128,762,560,940.50
  5. Step 5: Solve for x
    x = 128,762,560,940.50/538,633.34
  6. Step 6: Final answer
    x = 239,054.20

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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.