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Finding the Fourth Proportional to 392,887.50, 542,184.75 and 214,039.50

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Solution

The fourth proportional to 392,887.50, 542,184.75 and 214,039.50 is: 295,374.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,887.50 : 542,184.75 = 214,039.50 : x
  2. Step 2: Convert to fraction form
    392,887.50/542,184.75 = 214,039.50/x
  3. Step 3: Cross multiply
    392,887.50x = 542,184.75 × 214,039.50
  4. Step 4: Simplify right side
    392,887.50x = 116,048,952,797.63
  5. Step 5: Solve for x
    x = 116,048,952,797.63/392,887.50
  6. Step 6: Final answer
    x = 295,374.51

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