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Finding the Fourth Proportional to 383,097.92, 528,675.12 and 222,046.38

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Solution

The fourth proportional to 383,097.92, 528,675.12 and 222,046.38 is: 306,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,097.92 : 528,675.12 = 222,046.38 : x
  2. Step 2: Convert to fraction form
    383,097.92/528,675.12 = 222,046.38/x
  3. Step 3: Cross multiply
    383,097.92x = 528,675.12 × 222,046.38
  4. Step 4: Simplify right side
    383,097.92x = 117,390,399,407.27
  5. Step 5: Solve for x
    x = 117,390,399,407.27/383,097.92
  6. Step 6: Final answer
    x = 306,424.01

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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.