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Finding the Fourth Proportional to 465,460.40, 698,190.60 and 306,028.10

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Solution

The fourth proportional to 465,460.40, 698,190.60 and 306,028.10 is: 459,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,460.40 : 698,190.60 = 306,028.10 : x
  2. Step 2: Convert to fraction form
    465,460.40/698,190.60 = 306,028.10/x
  3. Step 3: Cross multiply
    465,460.40x = 698,190.60 × 306,028.10
  4. Step 4: Simplify right side
    465,460.40x = 213,665,942,755.86
  5. Step 5: Solve for x
    x = 213,665,942,755.86/465,460.40
  6. Step 6: Final answer
    x = 459,042.15

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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.