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Finding the Fourth Proportional to 402,008.76, 602,446.18 and 222,175.16

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Solution

The fourth proportional to 402,008.76, 602,446.18 and 222,175.16 is: 332,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,008.76 : 602,446.18 = 222,175.16 : x
  2. Step 2: Convert to fraction form
    402,008.76/602,446.18 = 222,175.16/x
  3. Step 3: Cross multiply
    402,008.76x = 602,446.18 × 222,175.16
  4. Step 4: Simplify right side
    402,008.76x = 133,848,576,432.89
  5. Step 5: Solve for x
    x = 133,848,576,432.89/402,008.76
  6. Step 6: Final answer
    x = 332,949.40

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Why These Related Problems?

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