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Finding the Fourth Proportional to 502,773.66, 694,051.31 and 298,890.59

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Solution

The fourth proportional to 502,773.66, 694,051.31 and 298,890.59 is: 412,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,773.66 : 694,051.31 = 298,890.59 : x
  2. Step 2: Convert to fraction form
    502,773.66/694,051.31 = 298,890.59/x
  3. Step 3: Cross multiply
    502,773.66x = 694,051.31 × 298,890.59
  4. Step 4: Simplify right side
    502,773.66x = 207,445,400,571.46
  5. Step 5: Solve for x
    x = 207,445,400,571.46/502,773.66
  6. Step 6: Final answer
    x = 412,601.97

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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.