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Finding the Fourth Proportional to 514,404.50, 771,606.84 and 214,721.60

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Solution

The fourth proportional to 514,404.50, 771,606.84 and 214,721.60 is: 322,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,404.50 : 771,606.84 = 214,721.60 : x
  2. Step 2: Convert to fraction form
    514,404.50/771,606.84 = 214,721.60/x
  3. Step 3: Cross multiply
    514,404.50x = 771,606.84 × 214,721.60
  4. Step 4: Simplify right side
    514,404.50x = 165,680,655,255.74
  5. Step 5: Solve for x
    x = 165,680,655,255.74/514,404.50
  6. Step 6: Final answer
    x = 322,082.44

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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.