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Finding the Fourth Proportional to 377,876.56, 566,801.34 and 164,644.06

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Solution

The fourth proportional to 377,876.56, 566,801.34 and 164,644.06 is: 246,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,876.56 : 566,801.34 = 164,644.06 : x
  2. Step 2: Convert to fraction form
    377,876.56/566,801.34 = 164,644.06/x
  3. Step 3: Cross multiply
    377,876.56x = 566,801.34 × 164,644.06
  4. Step 4: Simplify right side
    377,876.56x = 93,320,473,831.04
  5. Step 5: Solve for x
    x = 93,320,473,831.04/377,876.56
  6. Step 6: Final answer
    x = 246,960.21

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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.