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Finding the Fourth Proportional to 405,082.74, 558,997.16 and 232,987.71

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Solution

The fourth proportional to 405,082.74, 558,997.16 and 232,987.71 is: 321,513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,082.74 : 558,997.16 = 232,987.71 : x
  2. Step 2: Convert to fraction form
    405,082.74/558,997.16 = 232,987.71/x
  3. Step 3: Cross multiply
    405,082.74x = 558,997.16 × 232,987.71
  4. Step 4: Simplify right side
    405,082.74x = 130,239,468,204.90
  5. Step 5: Solve for x
    x = 130,239,468,204.90/405,082.74
  6. Step 6: Final answer
    x = 321,513.25

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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.