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Finding the Fourth Proportional to 298,154.92, 411,850.59 and 293,817.40

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Solution

The fourth proportional to 298,154.92, 411,850.59 and 293,817.40 is: 405,859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,154.92 : 411,850.59 = 293,817.40 : x
  2. Step 2: Convert to fraction form
    298,154.92/411,850.59 = 293,817.40/x
  3. Step 3: Cross multiply
    298,154.92x = 411,850.59 × 293,817.40
  4. Step 4: Simplify right side
    298,154.92x = 121,008,869,542.27
  5. Step 5: Solve for x
    x = 121,008,869,542.27/298,154.92
  6. Step 6: Final answer
    x = 405,859.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.