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Finding the Fourth Proportional to 347,932.72, 522,023.46 and 214,657.84

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Solution

The fourth proportional to 347,932.72, 522,023.46 and 214,657.84 is: 322,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,932.72 : 522,023.46 = 214,657.84 : x
  2. Step 2: Convert to fraction form
    347,932.72/522,023.46 = 214,657.84/x
  3. Step 3: Cross multiply
    347,932.72x = 522,023.46 × 214,657.84
  4. Step 4: Simplify right side
    347,932.72x = 112,056,428,352.93
  5. Step 5: Solve for x
    x = 112,056,428,352.93/347,932.72
  6. Step 6: Final answer
    x = 322,063.50

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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.