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Finding the Fourth Proportional to 533,364.60, 800,162.10 and 159,425.40

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Solution

The fourth proportional to 533,364.60, 800,162.10 and 159,425.40 is: 239,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,364.60 : 800,162.10 = 159,425.40 : x
  2. Step 2: Convert to fraction form
    533,364.60/800,162.10 = 159,425.40/x
  3. Step 3: Cross multiply
    533,364.60x = 800,162.10 × 159,425.40
  4. Step 4: Simplify right side
    533,364.60x = 127,566,162,857.34
  5. Step 5: Solve for x
    x = 127,566,162,857.34/533,364.60
  6. Step 6: Final answer
    x = 239,172.53

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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.