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Finding the Fourth Proportional to 543,084.57, 814,632.84 and 164,008.53

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Solution

The fourth proportional to 543,084.57, 814,632.84 and 164,008.53 is: 246,014.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,084.57 : 814,632.84 = 164,008.53 : x
  2. Step 2: Convert to fraction form
    543,084.57/814,632.84 = 164,008.53/x
  3. Step 3: Cross multiply
    543,084.57x = 814,632.84 × 164,008.53
  4. Step 4: Simplify right side
    543,084.57x = 133,606,734,578.13
  5. Step 5: Solve for x
    x = 133,606,734,578.13/543,084.57
  6. Step 6: Final answer
    x = 246,014.60

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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.