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Finding the Fourth Proportional to 345,751.44, 476,959.14 and 230,993.46

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Solution

The fourth proportional to 345,751.44, 476,959.14 and 230,993.46 is: 318,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,751.44 : 476,959.14 = 230,993.46 : x
  2. Step 2: Convert to fraction form
    345,751.44/476,959.14 = 230,993.46/x
  3. Step 3: Cross multiply
    345,751.44x = 476,959.14 × 230,993.46
  4. Step 4: Simplify right side
    345,751.44x = 110,174,442,027.22
  5. Step 5: Solve for x
    x = 110,174,442,027.22/345,751.44
  6. Step 6: Final answer
    x = 318,652.16

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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.