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Finding the Fourth Proportional to 405,081.74, 558,995.78 and 232,986.71

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Solution

The fourth proportional to 405,081.74, 558,995.78 and 232,986.71 is: 321,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,081.74 : 558,995.78 = 232,986.71 : x
  2. Step 2: Convert to fraction form
    405,081.74/558,995.78 = 232,986.71/x
  3. Step 3: Cross multiply
    405,081.74x = 558,995.78 × 232,986.71
  4. Step 4: Simplify right side
    405,081.74x = 130,238,589,666.04
  5. Step 5: Solve for x
    x = 130,238,589,666.04/405,081.74
  6. Step 6: Final answer
    x = 321,511.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.