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Finding the Fourth Proportional to 301,807.01, 416,374.32 and 194,439.66

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Solution

The fourth proportional to 301,807.01, 416,374.32 and 194,439.66 is: 268,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,807.01 : 416,374.32 = 194,439.66 : x
  2. Step 2: Convert to fraction form
    301,807.01/416,374.32 = 194,439.66/x
  3. Step 3: Cross multiply
    301,807.01x = 416,374.32 × 194,439.66
  4. Step 4: Simplify right side
    301,807.01x = 80,959,680,381.28
  5. Step 5: Solve for x
    x = 80,959,680,381.28/301,807.01
  6. Step 6: Final answer
    x = 268,249.83

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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.