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Finding the Fourth Proportional to 465,614.31, 697,837.15 and 199,061.54

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Solution

The fourth proportional to 465,614.31, 697,837.15 and 199,061.54 is: 298,342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,614.31 : 697,837.15 = 199,061.54 : x
  2. Step 2: Convert to fraction form
    465,614.31/697,837.15 = 199,061.54/x
  3. Step 3: Cross multiply
    465,614.31x = 697,837.15 × 199,061.54
  4. Step 4: Simplify right side
    465,614.31x = 138,912,537,748.21
  5. Step 5: Solve for x
    x = 138,912,537,748.21/465,614.31
  6. Step 6: Final answer
    x = 298,342.50

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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.