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Finding the Fourth Proportional to 514,336.10, 771,627.33 and 214,649.98

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Solution

The fourth proportional to 514,336.10, 771,627.33 and 214,649.98 is: 322,026.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,336.10 : 771,627.33 = 214,649.98 : x
  2. Step 2: Convert to fraction form
    514,336.10/771,627.33 = 214,649.98/x
  3. Step 3: Cross multiply
    514,336.10x = 771,627.33 × 214,649.98
  4. Step 4: Simplify right side
    514,336.10x = 165,629,787,093.82
  5. Step 5: Solve for x
    x = 165,629,787,093.82/514,336.10
  6. Step 6: Final answer
    x = 322,026.37

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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.