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Finding the Fourth Proportional to 514,359.84, 771,165.90 and 214,926.12

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Solution

The fourth proportional to 514,359.84, 771,165.90 and 214,926.12 is: 322,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,359.84 : 771,165.90 = 214,926.12 : x
  2. Step 2: Convert to fraction form
    514,359.84/771,165.90 = 214,926.12/x
  3. Step 3: Cross multiply
    514,359.84x = 771,165.90 × 214,926.12
  4. Step 4: Simplify right side
    514,359.84x = 165,743,694,763.31
  5. Step 5: Solve for x
    x = 165,743,694,763.31/514,359.84
  6. Step 6: Final answer
    x = 322,232.96

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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.