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Finding the Fourth Proportional to 297,232, 445,812.16 and 75,617.92

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Solution

The fourth proportional to 297,232, 445,812.16 and 75,617.92 is: 113,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,232 : 445,812.16 = 75,617.92 : x
  2. Step 2: Convert to fraction form
    297,232/445,812.16 = 75,617.92/x
  3. Step 3: Cross multiply
    297,232x = 445,812.16 × 75,617.92
  4. Step 4: Simplify right side
    297,232x = 33,711,388,249.91
  5. Step 5: Solve for x
    x = 33,711,388,249.91/297,232
  6. Step 6: Final answer
    x = 113,417.76

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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.