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Finding the Fourth Proportional to 411,171.86, 617,294.93 and 330,162.14

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Solution

The fourth proportional to 411,171.86, 617,294.93 and 330,162.14 is: 495,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,171.86 : 617,294.93 = 330,162.14 : x
  2. Step 2: Convert to fraction form
    411,171.86/617,294.93 = 330,162.14/x
  3. Step 3: Cross multiply
    411,171.86x = 617,294.93 × 330,162.14
  4. Step 4: Simplify right side
    411,171.86x = 203,807,414,992.38
  5. Step 5: Solve for x
    x = 203,807,414,992.38/411,171.86
  6. Step 6: Final answer
    x = 495,674.52

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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.