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Finding the Fourth Proportional to 397,304.69, 595,943.76 and 172,665.14

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Solution

The fourth proportional to 397,304.69, 595,943.76 and 172,665.14 is: 258,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,304.69 : 595,943.76 = 172,665.14 : x
  2. Step 2: Convert to fraction form
    397,304.69/595,943.76 = 172,665.14/x
  3. Step 3: Cross multiply
    397,304.69x = 595,943.76 × 172,665.14
  4. Step 4: Simplify right side
    397,304.69x = 102,898,712,752.53
  5. Step 5: Solve for x
    x = 102,898,712,752.53/397,304.69
  6. Step 6: Final answer
    x = 258,991.94

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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.