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Finding the Fourth Proportional to 230,974.92, 316,430.31 and 222,339.90

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Solution

The fourth proportional to 230,974.92, 316,430.31 and 222,339.90 is: 304,600.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,974.92 : 316,430.31 = 222,339.90 : x
  2. Step 2: Convert to fraction form
    230,974.92/316,430.31 = 222,339.90/x
  3. Step 3: Cross multiply
    230,974.92x = 316,430.31 × 222,339.90
  4. Step 4: Simplify right side
    230,974.92x = 70,355,083,482.37
  5. Step 5: Solve for x
    x = 70,355,083,482.37/230,974.92
  6. Step 6: Final answer
    x = 304,600.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.