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Finding the Fourth Proportional to 511,242.30, 705,456.54 and 296,337.96

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Solution

The fourth proportional to 511,242.30, 705,456.54 and 296,337.96 is: 408,912.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,242.30 : 705,456.54 = 296,337.96 : x
  2. Step 2: Convert to fraction form
    511,242.30/705,456.54 = 296,337.96/x
  3. Step 3: Cross multiply
    511,242.30x = 705,456.54 × 296,337.96
  4. Step 4: Simplify right side
    511,242.30x = 209,053,551,932.26
  5. Step 5: Solve for x
    x = 209,053,551,932.26/511,242.30
  6. Step 6: Final answer
    x = 408,912.86

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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.