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Finding the Fourth Proportional to 361,095.67, 498,305.94 and 199,947.26

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Solution

The fourth proportional to 361,095.67, 498,305.94 and 199,947.26 is: 275,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,095.67 : 498,305.94 = 199,947.26 : x
  2. Step 2: Convert to fraction form
    361,095.67/498,305.94 = 199,947.26/x
  3. Step 3: Cross multiply
    361,095.67x = 498,305.94 × 199,947.26
  4. Step 4: Simplify right side
    361,095.67x = 99,634,903,853.46
  5. Step 5: Solve for x
    x = 99,634,903,853.46/361,095.67
  6. Step 6: Final answer
    x = 275,923.84

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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.