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Finding the Fourth Proportional to 514,294.26, 771,563.70 and 214,608.30

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Solution

The fourth proportional to 514,294.26, 771,563.70 and 214,608.30 is: 321,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,294.26 : 771,563.70 = 214,608.30 : x
  2. Step 2: Convert to fraction form
    514,294.26/771,563.70 = 214,608.30/x
  3. Step 3: Cross multiply
    514,294.26x = 771,563.70 × 214,608.30
  4. Step 4: Simplify right side
    514,294.26x = 165,583,973,998.71
  5. Step 5: Solve for x
    x = 165,583,973,998.71/514,294.26
  6. Step 6: Final answer
    x = 321,963.49

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Why These Related Problems?

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