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Finding the Fourth Proportional to 340,509.83, 469,832.28 and 197,261.33

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Solution

The fourth proportional to 340,509.83, 469,832.28 and 197,261.33 is: 272,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,509.83 : 469,832.28 = 197,261.33 : x
  2. Step 2: Convert to fraction form
    340,509.83/469,832.28 = 197,261.33/x
  3. Step 3: Cross multiply
    340,509.83x = 469,832.28 × 197,261.33
  4. Step 4: Simplify right side
    340,509.83x = 92,679,740,429.73
  5. Step 5: Solve for x
    x = 92,679,740,429.73/340,509.83
  6. Step 6: Final answer
    x = 272,179.34

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