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Finding the Fourth Proportional to 458,200.40, 686,717.40 and 408,045.20

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Solution

The fourth proportional to 458,200.40, 686,717.40 and 408,045.20 is: 611,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,200.40 : 686,717.40 = 408,045.20 : x
  2. Step 2: Convert to fraction form
    458,200.40/686,717.40 = 408,045.20/x
  3. Step 3: Cross multiply
    458,200.40x = 686,717.40 × 408,045.20
  4. Step 4: Simplify right side
    458,200.40x = 280,211,738,826.48
  5. Step 5: Solve for x
    x = 280,211,738,826.48/458,200.40
  6. Step 6: Final answer
    x = 611,548.44

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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.