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Finding the Fourth Proportional to 598,268.60, 897,207.90 and 198,802.12

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Solution

The fourth proportional to 598,268.60, 897,207.90 and 198,802.12 is: 298,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,268.60 : 897,207.90 = 198,802.12 : x
  2. Step 2: Convert to fraction form
    598,268.60/897,207.90 = 198,802.12/x
  3. Step 3: Cross multiply
    598,268.60x = 897,207.90 × 198,802.12
  4. Step 4: Simplify right side
    598,268.60x = 178,366,832,600.75
  5. Step 5: Solve for x
    x = 178,366,832,600.75/598,268.60
  6. Step 6: Final answer
    x = 298,138.38

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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.