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Finding the Fourth Proportional to 278,693.40, 418,040.10 and 200,544.60

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Solution

The fourth proportional to 278,693.40, 418,040.10 and 200,544.60 is: 300,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,693.40 : 418,040.10 = 200,544.60 : x
  2. Step 2: Convert to fraction form
    278,693.40/418,040.10 = 200,544.60/x
  3. Step 3: Cross multiply
    278,693.40x = 418,040.10 × 200,544.60
  4. Step 4: Simplify right side
    278,693.40x = 83,835,684,638.46
  5. Step 5: Solve for x
    x = 83,835,684,638.46/278,693.40
  6. Step 6: Final answer
    x = 300,816.90

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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.