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Finding the Fourth Proportional to 503,106.58, 754,355.10 and 225,769.76

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Solution

The fourth proportional to 503,106.58, 754,355.10 and 225,769.76 is: 338,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,106.58 : 754,355.10 = 225,769.76 : x
  2. Step 2: Convert to fraction form
    503,106.58/754,355.10 = 225,769.76/x
  3. Step 3: Cross multiply
    503,106.58x = 754,355.10 × 225,769.76
  4. Step 4: Simplify right side
    503,106.58x = 170,310,571,344.35
  5. Step 5: Solve for x
    x = 170,310,571,344.35/503,106.58
  6. Step 6: Final answer
    x = 338,517.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.