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Finding the Fourth Proportional to 458,214.40, 686,738.40 and 408,059.20

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Solution

The fourth proportional to 458,214.40, 686,738.40 and 408,059.20 is: 611,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,214.40 : 686,738.40 = 408,059.20 : x
  2. Step 2: Convert to fraction form
    458,214.40/686,738.40 = 408,059.20/x
  3. Step 3: Cross multiply
    458,214.40x = 686,738.40 × 408,059.20
  4. Step 4: Simplify right side
    458,214.40x = 280,229,922,113.28
  5. Step 5: Solve for x
    x = 280,229,922,113.28/458,214.40
  6. Step 6: Final answer
    x = 611,569.44

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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.