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Finding the Fourth Proportional to 498,414.10, 747,621.15 and 428,430.10

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Solution

The fourth proportional to 498,414.10, 747,621.15 and 428,430.10 is: 642,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,414.10 : 747,621.15 = 428,430.10 : x
  2. Step 2: Convert to fraction form
    498,414.10/747,621.15 = 428,430.10/x
  3. Step 3: Cross multiply
    498,414.10x = 747,621.15 × 428,430.10
  4. Step 4: Simplify right side
    498,414.10x = 320,303,404,056.62
  5. Step 5: Solve for x
    x = 320,303,404,056.62/498,414.10
  6. Step 6: Final answer
    x = 642,645.15

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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.