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Finding the Fourth Proportional to 514,172.90, 771,331.16 and 214,584.88

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Solution

The fourth proportional to 514,172.90, 771,331.16 and 214,584.88 is: 321,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,172.90 : 771,331.16 = 214,584.88 : x
  2. Step 2: Convert to fraction form
    514,172.90/771,331.16 = 214,584.88/x
  3. Step 3: Cross multiply
    514,172.90x = 771,331.16 × 214,584.88
  4. Step 4: Simplify right side
    514,172.90x = 165,516,003,017.00
  5. Step 5: Solve for x
    x = 165,516,003,017.00/514,172.90
  6. Step 6: Final answer
    x = 321,907.29

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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.