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Finding the Fourth Proportional to 534,515.76, 801,824.54 and 150,263.64

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Solution

The fourth proportional to 534,515.76, 801,824.54 and 150,263.64 is: 225,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,515.76 : 801,824.54 = 150,263.64 : x
  2. Step 2: Convert to fraction form
    534,515.76/801,824.54 = 150,263.64/x
  3. Step 3: Cross multiply
    534,515.76x = 801,824.54 × 150,263.64
  4. Step 4: Simplify right side
    534,515.76x = 120,485,073,270.41
  5. Step 5: Solve for x
    x = 120,485,073,270.41/534,515.76
  6. Step 6: Final answer
    x = 225,409.77

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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.