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Finding the Fourth Proportional to 510,092.02, 703,852.70 and 306,099.60

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Solution

The fourth proportional to 510,092.02, 703,852.70 and 306,099.60 is: 422,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,092.02 : 703,852.70 = 306,099.60 : x
  2. Step 2: Convert to fraction form
    510,092.02/703,852.70 = 306,099.60/x
  3. Step 3: Cross multiply
    510,092.02x = 703,852.70 × 306,099.60
  4. Step 4: Simplify right side
    510,092.02x = 215,449,029,928.92
  5. Step 5: Solve for x
    x = 215,449,029,928.92/510,092.02
  6. Step 6: Final answer
    x = 422,372.87

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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.