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Finding the Fourth Proportional to 316,833.44, 474,117.66 and 275,204

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Solution

The fourth proportional to 316,833.44, 474,117.66 and 275,204 is: 411,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,833.44 : 474,117.66 = 275,204 : x
  2. Step 2: Convert to fraction form
    316,833.44/474,117.66 = 275,204/x
  3. Step 3: Cross multiply
    316,833.44x = 474,117.66 × 275,204
  4. Step 4: Simplify right side
    316,833.44x = 130,479,076,502.64
  5. Step 5: Solve for x
    x = 130,479,076,502.64/316,833.44
  6. Step 6: Final answer
    x = 411,822.30

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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.