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Finding the Fourth Proportional to 392,298.50, 588,535.23 and 142,980.50

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Solution

The fourth proportional to 392,298.50, 588,535.23 and 142,980.50 is: 214,502.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,298.50 : 588,535.23 = 142,980.50 : x
  2. Step 2: Convert to fraction form
    392,298.50/588,535.23 = 142,980.50/x
  3. Step 3: Cross multiply
    392,298.50x = 588,535.23 × 142,980.50
  4. Step 4: Simplify right side
    392,298.50x = 84,149,061,453.02
  5. Step 5: Solve for x
    x = 84,149,061,453.02/392,298.50
  6. Step 6: Final answer
    x = 214,502.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.