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Finding the Fourth Proportional to 533,713.20, 800,444.73 and 154,532.51

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Solution

The fourth proportional to 533,713.20, 800,444.73 and 154,532.51 is: 231,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,713.20 : 800,444.73 = 154,532.51 : x
  2. Step 2: Convert to fraction form
    533,713.20/800,444.73 = 154,532.51/x
  3. Step 3: Cross multiply
    533,713.20x = 800,444.73 × 154,532.51
  4. Step 4: Simplify right side
    533,713.20x = 123,694,732,822.11
  5. Step 5: Solve for x
    x = 123,694,732,822.11/533,713.20
  6. Step 6: Final answer
    x = 231,762.55

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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.