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Finding the Fourth Proportional to 533,386.60, 800,195.10 and 159,447.40

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Solution

The fourth proportional to 533,386.60, 800,195.10 and 159,447.40 is: 239,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,386.60 : 800,195.10 = 159,447.40 : x
  2. Step 2: Convert to fraction form
    533,386.60/800,195.10 = 159,447.40/x
  3. Step 3: Cross multiply
    533,386.60x = 800,195.10 × 159,447.40
  4. Step 4: Simplify right side
    533,386.60x = 127,589,028,187.74
  5. Step 5: Solve for x
    x = 127,589,028,187.74/533,386.60
  6. Step 6: Final answer
    x = 239,205.54

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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.