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Finding the Fourth Proportional to 382,040.42, 527,192.62 and 212,268.74

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Solution

The fourth proportional to 382,040.42, 527,192.62 and 212,268.74 is: 292,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,040.42 : 527,192.62 = 212,268.74 : x
  2. Step 2: Convert to fraction form
    382,040.42/527,192.62 = 212,268.74/x
  3. Step 3: Cross multiply
    382,040.42x = 527,192.62 × 212,268.74
  4. Step 4: Simplify right side
    382,040.42x = 111,906,510,018.06
  5. Step 5: Solve for x
    x = 111,906,510,018.06/382,040.42
  6. Step 6: Final answer
    x = 292,917.99

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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.