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Finding the Fourth Proportional to 308,342.17, 462,302.77 and 164,269.53

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Solution

The fourth proportional to 308,342.17, 462,302.77 and 164,269.53 is: 246,292.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,342.17 : 462,302.77 = 164,269.53 : x
  2. Step 2: Convert to fraction form
    308,342.17/462,302.77 = 164,269.53/x
  3. Step 3: Cross multiply
    308,342.17x = 462,302.77 × 164,269.53
  4. Step 4: Simplify right side
    308,342.17x = 75,942,256,023.41
  5. Step 5: Solve for x
    x = 75,942,256,023.41/308,342.17
  6. Step 6: Final answer
    x = 246,292.15

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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.