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Finding the Fourth Proportional to 198,483.68, 297,378.84 and 165,416.24

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Solution

The fourth proportional to 198,483.68, 297,378.84 and 165,416.24 is: 247,835.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,483.68 : 297,378.84 = 165,416.24 : x
  2. Step 2: Convert to fraction form
    198,483.68/297,378.84 = 165,416.24/x
  3. Step 3: Cross multiply
    198,483.68x = 297,378.84 × 165,416.24
  4. Step 4: Simplify right side
    198,483.68x = 49,191,289,568.36
  5. Step 5: Solve for x
    x = 49,191,289,568.36/198,483.68
  6. Step 6: Final answer
    x = 247,835.44

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1.5x scale

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.