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Finding the Fourth Proportional to 503,056.74, 693,989.31 and 298,991.71

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Solution

The fourth proportional to 503,056.74, 693,989.31 and 298,991.71 is: 412,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,056.74 : 693,989.31 = 298,991.71 : x
  2. Step 2: Convert to fraction form
    503,056.74/693,989.31 = 298,991.71/x
  3. Step 3: Cross multiply
    503,056.74x = 693,989.31 × 298,991.71
  4. Step 4: Simplify right side
    503,056.74x = 207,497,050,518.62
  5. Step 5: Solve for x
    x = 207,497,050,518.62/503,056.74
  6. Step 6: Final answer
    x = 412,472.46

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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.