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Finding the Fourth Proportional to 405,082.06, 558,996.21 and 232,987.03

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Solution

The fourth proportional to 405,082.06, 558,996.21 and 232,987.03 is: 321,512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,082.06 : 558,996.21 = 232,987.03 : x
  2. Step 2: Convert to fraction form
    405,082.06/558,996.21 = 232,987.03/x
  3. Step 3: Cross multiply
    405,082.06x = 558,996.21 × 232,987.03
  4. Step 4: Simplify right side
    405,082.06x = 130,238,866,749.16
  5. Step 5: Solve for x
    x = 130,238,866,749.16/405,082.06
  6. Step 6: Final answer
    x = 321,512.30

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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.