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Finding the Fourth Proportional to 344,047.91, 474,769.96 and 191,096.01

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Solution

The fourth proportional to 344,047.91, 474,769.96 and 191,096.01 is: 263,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,047.91 : 474,769.96 = 191,096.01 : x
  2. Step 2: Convert to fraction form
    344,047.91/474,769.96 = 191,096.01/x
  3. Step 3: Cross multiply
    344,047.91x = 474,769.96 × 191,096.01
  4. Step 4: Simplify right side
    344,047.91x = 90,726,644,546.12
  5. Step 5: Solve for x
    x = 90,726,644,546.12/344,047.91
  6. Step 6: Final answer
    x = 263,703.52

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Why These Related Problems?

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