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Finding the Fourth Proportional to 598,293.44, 897,447.98 and 198,934.20

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Solution

The fourth proportional to 598,293.44, 897,447.98 and 198,934.20 is: 298,403.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,293.44 : 897,447.98 = 198,934.20 : x
  2. Step 2: Convert to fraction form
    598,293.44/897,447.98 = 198,934.20/x
  3. Step 3: Cross multiply
    598,293.44x = 897,447.98 × 198,934.20
  4. Step 4: Simplify right side
    598,293.44x = 178,533,095,942.92
  5. Step 5: Solve for x
    x = 178,533,095,942.92/598,293.44
  6. Step 6: Final answer
    x = 298,403.90

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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.