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Finding the Fourth Proportional to 414,710.63, 621,695.50 and 161,932.31

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Solution

The fourth proportional to 414,710.63, 621,695.50 and 161,932.31 is: 242,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,710.63 : 621,695.50 = 161,932.31 : x
  2. Step 2: Convert to fraction form
    414,710.63/621,695.50 = 161,932.31/x
  3. Step 3: Cross multiply
    414,710.63x = 621,695.50 × 161,932.31
  4. Step 4: Simplify right side
    414,710.63x = 100,672,588,431.61
  5. Step 5: Solve for x
    x = 100,672,588,431.61/414,710.63
  6. Step 6: Final answer
    x = 242,753.82

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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.