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Finding the Fourth Proportional to 343,804.52, 515,812.35 and 164,119.23

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Solution

The fourth proportional to 343,804.52, 515,812.35 and 164,119.23 is: 246,229.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,804.52 : 515,812.35 = 164,119.23 : x
  2. Step 2: Convert to fraction form
    343,804.52/515,812.35 = 164,119.23/x
  3. Step 3: Cross multiply
    343,804.52x = 515,812.35 × 164,119.23
  4. Step 4: Simplify right side
    343,804.52x = 84,654,725,706.49
  5. Step 5: Solve for x
    x = 84,654,725,706.49/343,804.52
  6. Step 6: Final answer
    x = 246,229.24

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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.