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Finding the Fourth Proportional to 408,858.60, 613,287.90 and 302,570.40

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Solution

The fourth proportional to 408,858.60, 613,287.90 and 302,570.40 is: 453,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,858.60 : 613,287.90 = 302,570.40 : x
  2. Step 2: Convert to fraction form
    408,858.60/613,287.90 = 302,570.40/x
  3. Step 3: Cross multiply
    408,858.60x = 613,287.90 × 302,570.40
  4. Step 4: Simplify right side
    408,858.60x = 185,562,765,218.16
  5. Step 5: Solve for x
    x = 185,562,765,218.16/408,858.60
  6. Step 6: Final answer
    x = 453,855.60

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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.