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Finding the Fourth Proportional to 298,249.29, 411,736.50 and 230,113.17

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Solution

The fourth proportional to 298,249.29, 411,736.50 and 230,113.17 is: 317,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,249.29 : 411,736.50 = 230,113.17 : x
  2. Step 2: Convert to fraction form
    298,249.29/411,736.50 = 230,113.17/x
  3. Step 3: Cross multiply
    298,249.29x = 411,736.50 × 230,113.17
  4. Step 4: Simplify right side
    298,249.29x = 94,745,991,219.71
  5. Step 5: Solve for x
    x = 94,745,991,219.71/298,249.29
  6. Step 6: Final answer
    x = 317,673.82

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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.