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Finding the Fourth Proportional to 405,080.06, 558,993.45 and 232,985.03

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Solution

The fourth proportional to 405,080.06, 558,993.45 and 232,985.03 is: 321,509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,080.06 : 558,993.45 = 232,985.03 : x
  2. Step 2: Convert to fraction form
    405,080.06/558,993.45 = 232,985.03/x
  3. Step 3: Cross multiply
    405,080.06x = 558,993.45 × 232,985.03
  4. Step 4: Simplify right side
    405,080.06x = 130,237,103,796.78
  5. Step 5: Solve for x
    x = 130,237,103,796.78/405,080.06
  6. Step 6: Final answer
    x = 321,509.54

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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.