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Finding the Fourth Proportional to 559,212.46, 838,824.15 and 159,850.46

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Solution

The fourth proportional to 559,212.46, 838,824.15 and 159,850.46 is: 239,777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,212.46 : 838,824.15 = 159,850.46 : x
  2. Step 2: Convert to fraction form
    559,212.46/838,824.15 = 159,850.46/x
  3. Step 3: Cross multiply
    559,212.46x = 838,824.15 × 159,850.46
  4. Step 4: Simplify right side
    559,212.46x = 134,086,428,933.11
  5. Step 5: Solve for x
    x = 134,086,428,933.11/559,212.46
  6. Step 6: Final answer
    x = 239,777.26

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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.