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Finding the Fourth Proportional to 514,476.91, 771,715.67 and 214,794.12

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Solution

The fourth proportional to 514,476.91, 771,715.67 and 214,794.12 is: 322,191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,476.91 : 771,715.67 = 214,794.12 : x
  2. Step 2: Convert to fraction form
    514,476.91/771,715.67 = 214,794.12/x
  3. Step 3: Cross multiply
    514,476.91x = 771,715.67 × 214,794.12
  4. Step 4: Simplify right side
    514,476.91x = 165,759,988,227.86
  5. Step 5: Solve for x
    x = 165,759,988,227.86/514,476.91
  6. Step 6: Final answer
    x = 322,191.31

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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.