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Finding the Fourth Proportional to 467,800.68, 701,535.42 and 152,198.76

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Solution

The fourth proportional to 467,800.68, 701,535.42 and 152,198.76 is: 228,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,800.68 : 701,535.42 = 152,198.76 : x
  2. Step 2: Convert to fraction form
    467,800.68/701,535.42 = 152,198.76/x
  3. Step 3: Cross multiply
    467,800.68x = 701,535.42 × 152,198.76
  4. Step 4: Simplify right side
    467,800.68x = 106,772,821,020.08
  5. Step 5: Solve for x
    x = 106,772,821,020.08/467,800.68
  6. Step 6: Final answer
    x = 228,244.26

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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.