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Finding the Fourth Proportional to 347,814.10, 521,721.15 and 214,261.30

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Solution

The fourth proportional to 347,814.10, 521,721.15 and 214,261.30 is: 321,391.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,814.10 : 521,721.15 = 214,261.30 : x
  2. Step 2: Convert to fraction form
    347,814.10/521,721.15 = 214,261.30/x
  3. Step 3: Cross multiply
    347,814.10x = 521,721.15 × 214,261.30
  4. Step 4: Simplify right side
    347,814.10x = 111,784,651,836.50
  5. Step 5: Solve for x
    x = 111,784,651,836.50/347,814.10
  6. Step 6: Final answer
    x = 321,391.95

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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.