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Finding the Fourth Proportional to 408,050.60, 611,857.20 and 171,125.60

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Solution

The fourth proportional to 408,050.60, 611,857.20 and 171,125.60 is: 256,596.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,050.60 : 611,857.20 = 171,125.60 : x
  2. Step 2: Convert to fraction form
    408,050.60/611,857.20 = 171,125.60/x
  3. Step 3: Cross multiply
    408,050.60x = 611,857.20 × 171,125.60
  4. Step 4: Simplify right side
    408,050.60x = 104,704,430,464.32
  5. Step 5: Solve for x
    x = 104,704,430,464.32/408,050.60
  6. Step 6: Final answer
    x = 256,596.68

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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.