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Finding the Fourth Proportional to 466,412.46, 699,640.56 and 150,894

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Solution

The fourth proportional to 466,412.46, 699,640.56 and 150,894 is: 226,348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,412.46 : 699,640.56 = 150,894 : x
  2. Step 2: Convert to fraction form
    466,412.46/699,640.56 = 150,894/x
  3. Step 3: Cross multiply
    466,412.46x = 699,640.56 × 150,894
  4. Step 4: Simplify right side
    466,412.46x = 105,571,562,660.64
  5. Step 5: Solve for x
    x = 105,571,562,660.64/466,412.46
  6. Step 6: Final answer
    x = 226,348.08

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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.