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Finding the Fourth Proportional to 503,059.59, 693,993.24 and 298,994.55

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Solution

The fourth proportional to 503,059.59, 693,993.24 and 298,994.55 is: 412,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,059.59 : 693,993.24 = 298,994.55 : x
  2. Step 2: Convert to fraction form
    503,059.59/693,993.24 = 298,994.55/x
  3. Step 3: Cross multiply
    503,059.59x = 693,993.24 × 298,994.55
  4. Step 4: Simplify right side
    503,059.59x = 207,500,196,496.84
  5. Step 5: Solve for x
    x = 207,500,196,496.84/503,059.59
  6. Step 6: Final answer
    x = 412,476.38

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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.