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Finding the Fourth Proportional to 411,949.60, 617,233.20 and 201,133.60

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Solution

The fourth proportional to 411,949.60, 617,233.20 and 201,133.60 is: 301,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,949.60 : 617,233.20 = 201,133.60 : x
  2. Step 2: Convert to fraction form
    411,949.60/617,233.20 = 201,133.60/x
  3. Step 3: Cross multiply
    411,949.60x = 617,233.20 × 201,133.60
  4. Step 4: Simplify right side
    411,949.60x = 124,146,335,555.52
  5. Step 5: Solve for x
    x = 124,146,335,555.52/411,949.60
  6. Step 6: Final answer
    x = 301,362.92

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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.