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Finding the Fourth Proportional to 466,841.40, 699,708.45 and 419,233.10

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Solution

The fourth proportional to 466,841.40, 699,708.45 and 419,233.10 is: 628,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,841.40 : 699,708.45 = 419,233.10 : x
  2. Step 2: Convert to fraction form
    466,841.40/699,708.45 = 419,233.10/x
  3. Step 3: Cross multiply
    466,841.40x = 699,708.45 × 419,233.10
  4. Step 4: Simplify right side
    466,841.40x = 293,340,942,589.70
  5. Step 5: Solve for x
    x = 293,340,942,589.70/466,841.40
  6. Step 6: Final answer
    x = 628,352.46

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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.