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Finding the Fourth Proportional to 412,398.51, 569,116.83 and 231,150.87

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Solution

The fourth proportional to 412,398.51, 569,116.83 and 231,150.87 is: 318,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,398.51 : 569,116.83 = 231,150.87 : x
  2. Step 2: Convert to fraction form
    412,398.51/569,116.83 = 231,150.87/x
  3. Step 3: Cross multiply
    412,398.51x = 569,116.83 × 231,150.87
  4. Step 4: Simplify right side
    412,398.51x = 131,551,850,386.14
  5. Step 5: Solve for x
    x = 131,551,850,386.14/412,398.51
  6. Step 6: Final answer
    x = 318,992.06

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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.