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Finding the Fourth Proportional to 197,647.20, 296,470.80 and 49,903.20

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Solution

The fourth proportional to 197,647.20, 296,470.80 and 49,903.20 is: 74,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,647.20 : 296,470.80 = 49,903.20 : x
  2. Step 2: Convert to fraction form
    197,647.20/296,470.80 = 49,903.20/x
  3. Step 3: Cross multiply
    197,647.20x = 296,470.80 × 49,903.20
  4. Step 4: Simplify right side
    197,647.20x = 14,794,841,626.56
  5. Step 5: Solve for x
    x = 14,794,841,626.56/197,647.20
  6. Step 6: Final answer
    x = 74,854.80

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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.