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Finding the Fourth Proportional to 514,300.20, 771,573.48 and 214,614.06

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Solution

The fourth proportional to 514,300.20, 771,573.48 and 214,614.06 is: 321,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,300.20 : 771,573.48 = 214,614.06 : x
  2. Step 2: Convert to fraction form
    514,300.20/771,573.48 = 214,614.06/x
  3. Step 3: Cross multiply
    514,300.20x = 771,573.48 × 214,614.06
  4. Step 4: Simplify right side
    514,300.20x = 165,590,517,131.13
  5. Step 5: Solve for x
    x = 165,590,517,131.13/514,300.20
  6. Step 6: Final answer
    x = 321,972.49

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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.