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Finding the Fourth Proportional to 361,101.81, 498,314.37 and 199,953.40

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Solution

The fourth proportional to 361,101.81, 498,314.37 and 199,953.40 is: 275,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,101.81 : 498,314.37 = 199,953.40 : x
  2. Step 2: Convert to fraction form
    361,101.81/498,314.37 = 199,953.40/x
  3. Step 3: Cross multiply
    361,101.81x = 498,314.37 × 199,953.40
  4. Step 4: Simplify right side
    361,101.81x = 99,639,649,059.02
  5. Step 5: Solve for x
    x = 99,639,649,059.02/361,101.81
  6. Step 6: Final answer
    x = 275,932.29

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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.