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Finding the Fourth Proportional to 458,464.40, 687,696.60 and 192,136.40

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Solution

The fourth proportional to 458,464.40, 687,696.60 and 192,136.40 is: 288,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,464.40 : 687,696.60 = 192,136.40 : x
  2. Step 2: Convert to fraction form
    458,464.40/687,696.60 = 192,136.40/x
  3. Step 3: Cross multiply
    458,464.40x = 687,696.60 × 192,136.40
  4. Step 4: Simplify right side
    458,464.40x = 132,131,549,016.24
  5. Step 5: Solve for x
    x = 132,131,549,016.24/458,464.40
  6. Step 6: Final answer
    x = 288,204.60

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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.