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Finding the Fourth Proportional to 458,233.40, 686,766.90 and 408,078.20

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Solution

The fourth proportional to 458,233.40, 686,766.90 and 408,078.20 is: 611,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,233.40 : 686,766.90 = 408,078.20 : x
  2. Step 2: Convert to fraction form
    458,233.40/686,766.90 = 408,078.20/x
  3. Step 3: Cross multiply
    458,233.40x = 686,766.90 × 408,078.20
  4. Step 4: Simplify right side
    458,233.40x = 280,254,600,371.58
  5. Step 5: Solve for x
    x = 280,254,600,371.58/458,233.40
  6. Step 6: Final answer
    x = 611,597.93

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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.