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Finding the Fourth Proportional to 313,266.81, 469,976.76 and 100,034.77

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Solution

The fourth proportional to 313,266.81, 469,976.76 and 100,034.77 is: 150,076.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,266.81 : 469,976.76 = 100,034.77 : x
  2. Step 2: Convert to fraction form
    313,266.81/469,976.76 = 100,034.77/x
  3. Step 3: Cross multiply
    313,266.81x = 469,976.76 × 100,034.77
  4. Step 4: Simplify right side
    313,266.81x = 47,014,016,591.77
  5. Step 5: Solve for x
    x = 47,014,016,591.77/313,266.81
  6. Step 6: Final answer
    x = 150,076.60

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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.