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Finding the Fourth Proportional to 411,949.10, 617,232.45 and 201,133.10

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Solution

The fourth proportional to 411,949.10, 617,232.45 and 201,133.10 is: 301,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,949.10 : 617,232.45 = 201,133.10 : x
  2. Step 2: Convert to fraction form
    411,949.10/617,232.45 = 201,133.10/x
  3. Step 3: Cross multiply
    411,949.10x = 617,232.45 × 201,133.10
  4. Step 4: Simplify right side
    411,949.10x = 124,145,876,089.10
  5. Step 5: Solve for x
    x = 124,145,876,089.10/411,949.10
  6. Step 6: Final answer
    x = 301,362.17

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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.