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Finding the Fourth Proportional to 462,343.86, 693,571.84 and 162,763.13

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Solution

The fourth proportional to 462,343.86, 693,571.84 and 162,763.13 is: 244,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,343.86 : 693,571.84 = 162,763.13 : x
  2. Step 2: Convert to fraction form
    462,343.86/693,571.84 = 162,763.13/x
  3. Step 3: Cross multiply
    462,343.86x = 693,571.84 × 162,763.13
  4. Step 4: Simplify right side
    462,343.86x = 112,887,924,885.28
  5. Step 5: Solve for x
    x = 112,887,924,885.28/462,343.86
  6. Step 6: Final answer
    x = 244,164.43

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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.