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Finding the Fourth Proportional to 414,591.78, 621,493.95 and 162,034.29

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Solution

The fourth proportional to 414,591.78, 621,493.95 and 162,034.29 is: 242,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,591.78 : 621,493.95 = 162,034.29 : x
  2. Step 2: Convert to fraction form
    414,591.78/621,493.95 = 162,034.29/x
  3. Step 3: Cross multiply
    414,591.78x = 621,493.95 × 162,034.29
  4. Step 4: Simplify right side
    414,591.78x = 100,703,330,927.55
  5. Step 5: Solve for x
    x = 100,703,330,927.55/414,591.78
  6. Step 6: Final answer
    x = 242,897.56

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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.