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Finding the Fourth Proportional to 474,733.94, 711,608.83 and 296,832.42

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Solution

The fourth proportional to 474,733.94, 711,608.83 and 296,832.42 is: 444,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,733.94 : 711,608.83 = 296,832.42 : x
  2. Step 2: Convert to fraction form
    474,733.94/711,608.83 = 296,832.42/x
  3. Step 3: Cross multiply
    474,733.94x = 711,608.83 × 296,832.42
  4. Step 4: Simplify right side
    474,733.94x = 211,228,570,360.19
  5. Step 5: Solve for x
    x = 211,228,570,360.19/474,733.94
  6. Step 6: Final answer
    x = 444,940.95

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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.