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Finding the Fourth Proportional to 533,632.80, 800,175.60 and 159,607.20

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Solution

The fourth proportional to 533,632.80, 800,175.60 and 159,607.20 is: 239,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,632.80 : 800,175.60 = 159,607.20 : x
  2. Step 2: Convert to fraction form
    533,632.80/800,175.60 = 159,607.20/x
  3. Step 3: Cross multiply
    533,632.80x = 800,175.60 × 159,607.20
  4. Step 4: Simplify right side
    533,632.80x = 127,713,787,024.32
  5. Step 5: Solve for x
    x = 127,713,787,024.32/533,632.80
  6. Step 6: Final answer
    x = 239,328.97

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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.