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Finding the Fourth Proportional to 412,009.31, 568,518.93 and 237,585.96

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Solution

The fourth proportional to 412,009.31, 568,518.93 and 237,585.96 is: 327,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,009.31 : 568,518.93 = 237,585.96 : x
  2. Step 2: Convert to fraction form
    412,009.31/568,518.93 = 237,585.96/x
  3. Step 3: Cross multiply
    412,009.31x = 568,518.93 × 237,585.96
  4. Step 4: Simplify right side
    412,009.31x = 135,072,112,919.63
  5. Step 5: Solve for x
    x = 135,072,112,919.63/412,009.31
  6. Step 6: Final answer
    x = 327,837.53

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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.