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Finding the Fourth Proportional to 409,441.96, 614,162.94 and 159,949

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Solution

The fourth proportional to 409,441.96, 614,162.94 and 159,949 is: 239,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,441.96 : 614,162.94 = 159,949 : x
  2. Step 2: Convert to fraction form
    409,441.96/614,162.94 = 159,949/x
  3. Step 3: Cross multiply
    409,441.96x = 614,162.94 × 159,949
  4. Step 4: Simplify right side
    409,441.96x = 98,234,748,090.06
  5. Step 5: Solve for x
    x = 98,234,748,090.06/409,441.96
  6. Step 6: Final answer
    x = 239,923.50

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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.