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Finding the Fourth Proportional to 402,002.35, 602,436.62 and 222,168.76

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Solution

The fourth proportional to 402,002.35, 602,436.62 and 222,168.76 is: 332,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,002.35 : 602,436.62 = 222,168.76 : x
  2. Step 2: Convert to fraction form
    402,002.35/602,436.62 = 222,168.76/x
  3. Step 3: Cross multiply
    402,002.35x = 602,436.62 × 222,168.76
  4. Step 4: Simplify right side
    402,002.35x = 133,842,595,733.15
  5. Step 5: Solve for x
    x = 133,842,595,733.15/402,002.35
  6. Step 6: Final answer
    x = 332,939.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.