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Finding the Fourth Proportional to 411,903.60, 617,164.20 and 201,087.60

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Solution

The fourth proportional to 411,903.60, 617,164.20 and 201,087.60 is: 301,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,903.60 : 617,164.20 = 201,087.60 : x
  2. Step 2: Convert to fraction form
    411,903.60/617,164.20 = 201,087.60/x
  3. Step 3: Cross multiply
    411,903.60x = 617,164.20 × 201,087.60
  4. Step 4: Simplify right side
    411,903.60x = 124,104,067,783.92
  5. Step 5: Solve for x
    x = 124,104,067,783.92/411,903.60
  6. Step 6: Final answer
    x = 301,293.96

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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.