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Finding the Fourth Proportional to 310,033.20, 465,049.80 and 197,840.10

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Solution

The fourth proportional to 310,033.20, 465,049.80 and 197,840.10 is: 296,760.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,033.20 : 465,049.80 = 197,840.10 : x
  2. Step 2: Convert to fraction form
    310,033.20/465,049.80 = 197,840.10/x
  3. Step 3: Cross multiply
    310,033.20x = 465,049.80 × 197,840.10
  4. Step 4: Simplify right side
    310,033.20x = 92,005,498,936.98
  5. Step 5: Solve for x
    x = 92,005,498,936.98/310,033.20
  6. Step 6: Final answer
    x = 296,760.15

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1.5x scale

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.