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Finding the Fourth Proportional to 408,847.60, 613,271.40 and 142,519.60

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Solution

The fourth proportional to 408,847.60, 613,271.40 and 142,519.60 is: 213,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,847.60 : 613,271.40 = 142,519.60 : x
  2. Step 2: Convert to fraction form
    408,847.60/613,271.40 = 142,519.60/x
  3. Step 3: Cross multiply
    408,847.60x = 613,271.40 × 142,519.60
  4. Step 4: Simplify right side
    408,847.60x = 87,403,194,619.44
  5. Step 5: Solve for x
    x = 87,403,194,619.44/408,847.60
  6. Step 6: Final answer
    x = 213,779.40

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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.