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Finding the Fourth Proportional to 533,865.68, 800,565.23 and 159,801.20

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Solution

The fourth proportional to 533,865.68, 800,565.23 and 159,801.20 is: 239,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,865.68 : 800,565.23 = 159,801.20 : x
  2. Step 2: Convert to fraction form
    533,865.68/800,565.23 = 159,801.20/x
  3. Step 3: Cross multiply
    533,865.68x = 800,565.23 × 159,801.20
  4. Step 4: Simplify right side
    533,865.68x = 127,931,280,828.95
  5. Step 5: Solve for x
    x = 127,931,280,828.95/533,865.68
  6. Step 6: Final answer
    x = 239,631.97

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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.