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Finding the Fourth Proportional to 392,952.50, 542,274.46 and 214,104.50

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Solution

The fourth proportional to 392,952.50, 542,274.46 and 214,104.50 is: 295,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,952.50 : 542,274.46 = 214,104.50 : x
  2. Step 2: Convert to fraction form
    392,952.50/542,274.46 = 214,104.50/x
  3. Step 3: Cross multiply
    392,952.50x = 542,274.46 × 214,104.50
  4. Step 4: Simplify right side
    392,952.50x = 116,103,402,121.07
  5. Step 5: Solve for x
    x = 116,103,402,121.07/392,952.50
  6. Step 6: Final answer
    x = 295,464.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.