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Finding the Fourth Proportional to 514,013.84, 770,605.08 and 214,723.64

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Solution

The fourth proportional to 514,013.84, 770,605.08 and 214,723.64 is: 321,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,013.84 : 770,605.08 = 214,723.64 : x
  2. Step 2: Convert to fraction form
    514,013.84/770,605.08 = 214,723.64/x
  3. Step 3: Cross multiply
    514,013.84x = 770,605.08 × 214,723.64
  4. Step 4: Simplify right side
    514,013.84x = 165,467,127,780.09
  5. Step 5: Solve for x
    x = 165,467,127,780.09/514,013.84
  6. Step 6: Final answer
    x = 321,911.81

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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.