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Finding the Fourth Proportional to 514,296.26, 771,566.70 and 214,610.30

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Solution

The fourth proportional to 514,296.26, 771,566.70 and 214,610.30 is: 321,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,296.26 : 771,566.70 = 214,610.30 : x
  2. Step 2: Convert to fraction form
    514,296.26/771,566.70 = 214,610.30/x
  3. Step 3: Cross multiply
    514,296.26x = 771,566.70 × 214,610.30
  4. Step 4: Simplify right side
    514,296.26x = 165,586,160,957.01
  5. Step 5: Solve for x
    x = 165,586,160,957.01/514,296.26
  6. Step 6: Final answer
    x = 321,966.49

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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.