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Finding the Fourth Proportional to 405,887.95, 608,836.11 and 181,259.83

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Solution

The fourth proportional to 405,887.95, 608,836.11 and 181,259.83 is: 271,891.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,887.95 : 608,836.11 = 181,259.83 : x
  2. Step 2: Convert to fraction form
    405,887.95/608,836.11 = 181,259.83/x
  3. Step 3: Cross multiply
    405,887.95x = 608,836.11 × 181,259.83
  4. Step 4: Simplify right side
    405,887.95x = 110,357,529,796.46
  5. Step 5: Solve for x
    x = 110,357,529,796.46/405,887.95
  6. Step 6: Final answer
    x = 271,891.61

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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.