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Finding the Fourth Proportional to 297,994, 411,231.72 and 163,858

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Solution

The fourth proportional to 297,994, 411,231.72 and 163,858 is: 226,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,994 : 411,231.72 = 163,858 : x
  2. Step 2: Convert to fraction form
    297,994/411,231.72 = 163,858/x
  3. Step 3: Cross multiply
    297,994x = 411,231.72 × 163,858
  4. Step 4: Simplify right side
    297,994x = 67,383,607,175.76
  5. Step 5: Solve for x
    x = 67,383,607,175.76/297,994
  6. Step 6: Final answer
    x = 226,124.04

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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.