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Finding the Fourth Proportional to 465,614.81, 697,837.90 and 199,062.04

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Solution

The fourth proportional to 465,614.81, 697,837.90 and 199,062.04 is: 298,343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,614.81 : 697,837.90 = 199,062.04 : x
  2. Step 2: Convert to fraction form
    465,614.81/697,837.90 = 199,062.04/x
  3. Step 3: Cross multiply
    465,614.81x = 697,837.90 × 199,062.04
  4. Step 4: Simplify right side
    465,614.81x = 138,913,035,963.32
  5. Step 5: Solve for x
    x = 138,913,035,963.32/465,614.81
  6. Step 6: Final answer
    x = 298,343.25

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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.