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Finding the Fourth Proportional to 297,476.84, 446,213.41 and 107,893.10

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Solution

The fourth proportional to 297,476.84, 446,213.41 and 107,893.10 is: 161,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,476.84 : 446,213.41 = 107,893.10 : x
  2. Step 2: Convert to fraction form
    297,476.84/446,213.41 = 107,893.10/x
  3. Step 3: Cross multiply
    297,476.84x = 446,213.41 × 107,893.10
  4. Step 4: Simplify right side
    297,476.84x = 48,143,345,565.67
  5. Step 5: Solve for x
    x = 48,143,345,565.67/297,476.84
  6. Step 6: Final answer
    x = 161,838.97

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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.