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Finding the Fourth Proportional to 466,096.33, 643,262.28 and 284,914.32

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Solution

The fourth proportional to 466,096.33, 643,262.28 and 284,914.32 is: 393,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,096.33 : 643,262.28 = 284,914.32 : x
  2. Step 2: Convert to fraction form
    466,096.33/643,262.28 = 284,914.32/x
  3. Step 3: Cross multiply
    466,096.33x = 643,262.28 × 284,914.32
  4. Step 4: Simplify right side
    466,096.33x = 183,274,635,087.85
  5. Step 5: Solve for x
    x = 183,274,635,087.85/466,096.33
  6. Step 6: Final answer
    x = 393,211.92

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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.