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Finding the Fourth Proportional to 458,226.40, 686,756.40 and 408,071.20

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Solution

The fourth proportional to 458,226.40, 686,756.40 and 408,071.20 is: 611,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,226.40 : 686,756.40 = 408,071.20 : x
  2. Step 2: Convert to fraction form
    458,226.40/686,756.40 = 408,071.20/x
  3. Step 3: Cross multiply
    458,226.40x = 686,756.40 × 408,071.20
  4. Step 4: Simplify right side
    458,226.40x = 280,245,508,255.68
  5. Step 5: Solve for x
    x = 280,245,508,255.68/458,226.40
  6. Step 6: Final answer
    x = 611,587.43

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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.