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Finding the Fourth Proportional to 310,710.54, 465,770.55 and 198,074.61

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Solution

The fourth proportional to 310,710.54, 465,770.55 and 198,074.61 is: 296,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,710.54 : 465,770.55 = 198,074.61 : x
  2. Step 2: Convert to fraction form
    310,710.54/465,770.55 = 198,074.61/x
  3. Step 3: Cross multiply
    310,710.54x = 465,770.55 × 198,074.61
  4. Step 4: Simplify right side
    310,710.54x = 92,257,320,040.74
  5. Step 5: Solve for x
    x = 92,257,320,040.74/310,710.54
  6. Step 6: Final answer
    x = 296,923.69

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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.