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Finding the Fourth Proportional to 348,617.20, 522,148.20 and 286,409.20

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Solution

The fourth proportional to 348,617.20, 522,148.20 and 286,409.20 is: 428,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,617.20 : 522,148.20 = 286,409.20 : x
  2. Step 2: Convert to fraction form
    348,617.20/522,148.20 = 286,409.20/x
  3. Step 3: Cross multiply
    348,617.20x = 522,148.20 × 286,409.20
  4. Step 4: Simplify right side
    348,617.20x = 149,548,048,243.44
  5. Step 5: Solve for x
    x = 149,548,048,243.44/348,617.20
  6. Step 6: Final answer
    x = 428,974.96

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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.