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Finding the Fourth Proportional to 533,423.60, 800,135.40 and 159,446.60

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Solution

The fourth proportional to 533,423.60, 800,135.40 and 159,446.60 is: 239,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,423.60 : 800,135.40 = 159,446.60 : x
  2. Step 2: Convert to fraction form
    533,423.60/800,135.40 = 159,446.60/x
  3. Step 3: Cross multiply
    533,423.60x = 800,135.40 × 159,446.60
  4. Step 4: Simplify right side
    533,423.60x = 127,578,869,069.64
  5. Step 5: Solve for x
    x = 127,578,869,069.64/533,423.60
  6. Step 6: Final answer
    x = 239,169.90

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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.