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Finding the Fourth Proportional to 310,329.20, 465,493.80 and 123,340.70

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Solution

The fourth proportional to 310,329.20, 465,493.80 and 123,340.70 is: 185,011.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,329.20 : 465,493.80 = 123,340.70 : x
  2. Step 2: Convert to fraction form
    310,329.20/465,493.80 = 123,340.70/x
  3. Step 3: Cross multiply
    310,329.20x = 465,493.80 × 123,340.70
  4. Step 4: Simplify right side
    310,329.20x = 57,414,331,137.66
  5. Step 5: Solve for x
    x = 57,414,331,137.66/310,329.20
  6. Step 6: Final answer
    x = 185,011.05

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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.