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Finding the Fourth Proportional to 503,293.74, 694,316.40 and 299,228.94

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Solution

The fourth proportional to 503,293.74, 694,316.40 and 299,228.94 is: 412,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,293.74 : 694,316.40 = 299,228.94 : x
  2. Step 2: Convert to fraction form
    503,293.74/694,316.40 = 299,228.94/x
  3. Step 3: Cross multiply
    503,293.74x = 694,316.40 × 299,228.94
  4. Step 4: Simplify right side
    503,293.74x = 207,759,560,396.62
  5. Step 5: Solve for x
    x = 207,759,560,396.62/503,293.74
  6. Step 6: Final answer
    x = 412,799.81

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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.