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Finding the Fourth Proportional to 310,027.20, 465,040.80 and 197,834.10

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Solution

The fourth proportional to 310,027.20, 465,040.80 and 197,834.10 is: 296,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,027.20 : 465,040.80 = 197,834.10 : x
  2. Step 2: Convert to fraction form
    310,027.20/465,040.80 = 197,834.10/x
  3. Step 3: Cross multiply
    310,027.20x = 465,040.80 × 197,834.10
  4. Step 4: Simplify right side
    310,027.20x = 92,000,928,131.28
  5. Step 5: Solve for x
    x = 92,000,928,131.28/310,027.20
  6. Step 6: Final answer
    x = 296,751.15

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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.