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Finding the Fourth Proportional to 411,933.60, 617,209.20 and 201,117.60

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Solution

The fourth proportional to 411,933.60, 617,209.20 and 201,117.60 is: 301,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,933.60 : 617,209.20 = 201,117.60 : x
  2. Step 2: Convert to fraction form
    411,933.60/617,209.20 = 201,117.60/x
  3. Step 3: Cross multiply
    411,933.60x = 617,209.20 × 201,117.60
  4. Step 4: Simplify right side
    411,933.60x = 124,131,633,001.92
  5. Step 5: Solve for x
    x = 124,131,633,001.92/411,933.60
  6. Step 6: Final answer
    x = 301,338.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.