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Finding the Fourth Proportional to 464,725.17, 697,160.84 and 198,487.17

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Solution

The fourth proportional to 464,725.17, 697,160.84 and 198,487.17 is: 297,761.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,725.17 : 697,160.84 = 198,487.17 : x
  2. Step 2: Convert to fraction form
    464,725.17/697,160.84 = 198,487.17/x
  3. Step 3: Cross multiply
    464,725.17x = 697,160.84 × 198,487.17
  4. Step 4: Simplify right side
    464,725.17x = 138,377,481,173.99
  5. Step 5: Solve for x
    x = 138,377,481,173.99/464,725.17
  6. Step 6: Final answer
    x = 297,761.97

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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.