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Finding the Fourth Proportional to 369,724.85, 510,220.29 and 199,958.97

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Solution

The fourth proportional to 369,724.85, 510,220.29 and 199,958.97 is: 275,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,724.85 : 510,220.29 = 199,958.97 : x
  2. Step 2: Convert to fraction form
    369,724.85/510,220.29 = 199,958.97/x
  3. Step 3: Cross multiply
    369,724.85x = 510,220.29 × 199,958.97
  4. Step 4: Simplify right side
    369,724.85x = 102,023,123,661.50
  5. Step 5: Solve for x
    x = 102,023,123,661.50/369,724.85
  6. Step 6: Final answer
    x = 275,943.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.