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Finding the Fourth Proportional to 563,906.73, 845,909.82 and 159,102.47

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Solution

The fourth proportional to 563,906.73, 845,909.82 and 159,102.47 is: 238,667.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,906.73 : 845,909.82 = 159,102.47 : x
  2. Step 2: Convert to fraction form
    563,906.73/845,909.82 = 159,102.47/x
  3. Step 3: Cross multiply
    563,906.73x = 845,909.82 × 159,102.47
  4. Step 4: Simplify right side
    563,906.73x = 134,586,338,848.97
  5. Step 5: Solve for x
    x = 134,586,338,848.97/563,906.73
  6. Step 6: Final answer
    x = 238,667.73

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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.