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Finding the Fourth Proportional to 411,462.51, 617,189.31 and 312,232.11

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Solution

The fourth proportional to 411,462.51, 617,189.31 and 312,232.11 is: 468,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,462.51 : 617,189.31 = 312,232.11 : x
  2. Step 2: Convert to fraction form
    411,462.51/617,189.31 = 312,232.11/x
  3. Step 3: Cross multiply
    411,462.51x = 617,189.31 × 312,232.11
  4. Step 4: Simplify right side
    411,462.51x = 192,706,320,530.74
  5. Step 5: Solve for x
    x = 192,706,320,530.74/411,462.51
  6. Step 6: Final answer
    x = 468,344.78

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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.