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Finding the Fourth Proportional to 361,555.70, 498,970.89 and 200,417.54

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Solution

The fourth proportional to 361,555.70, 498,970.89 and 200,417.54 is: 276,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,555.70 : 498,970.89 = 200,417.54 : x
  2. Step 2: Convert to fraction form
    361,555.70/498,970.89 = 200,417.54/x
  3. Step 3: Cross multiply
    361,555.70x = 498,970.89 × 200,417.54
  4. Step 4: Simplify right side
    361,555.70x = 100,002,515,810.56
  5. Step 5: Solve for x
    x = 100,002,515,810.56/361,555.70
  6. Step 6: Final answer
    x = 276,589.52

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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.