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Finding the Fourth Proportional to 411,456.51, 617,180.31 and 312,226.11

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Solution

The fourth proportional to 411,456.51, 617,180.31 and 312,226.11 is: 468,335.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,456.51 : 617,180.31 = 312,226.11 : x
  2. Step 2: Convert to fraction form
    411,456.51/617,180.31 = 312,226.11/x
  3. Step 3: Cross multiply
    411,456.51x = 617,180.31 × 312,226.11
  4. Step 4: Simplify right side
    411,456.51x = 192,699,807,359.89
  5. Step 5: Solve for x
    x = 192,699,807,359.89/411,456.51
  6. Step 6: Final answer
    x = 468,335.78

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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.