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Finding the Fourth Proportional to 533,866.24, 800,566.08 and 159,801.76

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Solution

The fourth proportional to 533,866.24, 800,566.08 and 159,801.76 is: 239,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,866.24 : 800,566.08 = 159,801.76 : x
  2. Step 2: Convert to fraction form
    533,866.24/800,566.08 = 159,801.76/x
  3. Step 3: Cross multiply
    533,866.24x = 800,566.08 × 159,801.76
  4. Step 4: Simplify right side
    533,866.24x = 127,931,868,580.30
  5. Step 5: Solve for x
    x = 127,931,868,580.30/533,866.24
  6. Step 6: Final answer
    x = 239,632.81

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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.