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Finding the Fourth Proportional to 398,677.38, 598,114.50 and 118,194.63

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Solution

The fourth proportional to 398,677.38, 598,114.50 and 118,194.63 is: 177,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,677.38 : 598,114.50 = 118,194.63 : x
  2. Step 2: Convert to fraction form
    398,677.38/598,114.50 = 118,194.63/x
  3. Step 3: Cross multiply
    398,677.38x = 598,114.50 × 118,194.63
  4. Step 4: Simplify right side
    398,677.38x = 70,693,922,025.14
  5. Step 5: Solve for x
    x = 70,693,922,025.14/398,677.38
  6. Step 6: Final answer
    x = 177,321.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.