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Finding the Fourth Proportional to 340,577.74, 469,997.31 and 197,420.86

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Solution

The fourth proportional to 340,577.74, 469,997.31 and 197,420.86 is: 272,440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,577.74 : 469,997.31 = 197,420.86 : x
  2. Step 2: Convert to fraction form
    340,577.74/469,997.31 = 197,420.86/x
  3. Step 3: Cross multiply
    340,577.74x = 469,997.31 × 197,420.86
  4. Step 4: Simplify right side
    340,577.74x = 92,787,273,137.89
  5. Step 5: Solve for x
    x = 92,787,273,137.89/340,577.74
  6. Step 6: Final answer
    x = 272,440.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.