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Finding the Fourth Proportional to 408,605.40, 612,908.10 and 231,458.40

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Solution

The fourth proportional to 408,605.40, 612,908.10 and 231,458.40 is: 347,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,605.40 : 612,908.10 = 231,458.40 : x
  2. Step 2: Convert to fraction form
    408,605.40/612,908.10 = 231,458.40/x
  3. Step 3: Cross multiply
    408,605.40x = 612,908.10 × 231,458.40
  4. Step 4: Simplify right side
    408,605.40x = 141,862,728,173.04
  5. Step 5: Solve for x
    x = 141,862,728,173.04/408,605.40
  6. Step 6: Final answer
    x = 347,187.60

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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.