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Finding the Fourth Proportional to 514,302.20, 771,576.48 and 214,616.06

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Solution

The fourth proportional to 514,302.20, 771,576.48 and 214,616.06 is: 321,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,302.20 : 771,576.48 = 214,616.06 : x
  2. Step 2: Convert to fraction form
    514,302.20/771,576.48 = 214,616.06/x
  3. Step 3: Cross multiply
    514,302.20x = 771,576.48 × 214,616.06
  4. Step 4: Simplify right side
    514,302.20x = 165,592,704,126.27
  5. Step 5: Solve for x
    x = 165,592,704,126.27/514,302.20
  6. Step 6: Final answer
    x = 321,975.49

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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.