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Finding the Fourth Proportional to 308,044.42, 461,422.66 and 247,747

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Solution

The fourth proportional to 308,044.42, 461,422.66 and 247,747 is: 371,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,044.42 : 461,422.66 = 247,747 : x
  2. Step 2: Convert to fraction form
    308,044.42/461,422.66 = 247,747/x
  3. Step 3: Cross multiply
    308,044.42x = 461,422.66 × 247,747
  4. Step 4: Simplify right side
    308,044.42x = 114,316,079,747.02
  5. Step 5: Solve for x
    x = 114,316,079,747.02/308,044.42
  6. Step 6: Final answer
    x = 371,102.58

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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.