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Finding the Fourth Proportional to 458,196.40, 686,711.40 and 408,041.20

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Solution

The fourth proportional to 458,196.40, 686,711.40 and 408,041.20 is: 611,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,196.40 : 686,711.40 = 408,041.20 : x
  2. Step 2: Convert to fraction form
    458,196.40/686,711.40 = 408,041.20/x
  3. Step 3: Cross multiply
    458,196.40x = 686,711.40 × 408,041.20
  4. Step 4: Simplify right side
    458,196.40x = 280,206,543,709.68
  5. Step 5: Solve for x
    x = 280,206,543,709.68/458,196.40
  6. Step 6: Final answer
    x = 611,542.44

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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.