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Finding the Fourth Proportional to 278,645.40, 417,968.10 and 200,496.60

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Solution

The fourth proportional to 278,645.40, 417,968.10 and 200,496.60 is: 300,744.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,645.40 : 417,968.10 = 200,496.60 : x
  2. Step 2: Convert to fraction form
    278,645.40/417,968.10 = 200,496.60/x
  3. Step 3: Cross multiply
    278,645.40x = 417,968.10 × 200,496.60
  4. Step 4: Simplify right side
    278,645.40x = 83,801,182,958.46
  5. Step 5: Solve for x
    x = 83,801,182,958.46/278,645.40
  6. Step 6: Final answer
    x = 300,744.90

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1.5x scale

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.