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Finding the Fourth Proportional to 408,846.60, 613,269.90 and 302,558.40

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Solution

The fourth proportional to 408,846.60, 613,269.90 and 302,558.40 is: 453,837.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,846.60 : 613,269.90 = 302,558.40 : x
  2. Step 2: Convert to fraction form
    408,846.60/613,269.90 = 302,558.40/x
  3. Step 3: Cross multiply
    408,846.60x = 613,269.90 × 302,558.40
  4. Step 4: Simplify right side
    408,846.60x = 185,549,959,712.16
  5. Step 5: Solve for x
    x = 185,549,959,712.16/408,846.60
  6. Step 6: Final answer
    x = 453,837.60

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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.