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Finding the Fourth Proportional to 361,580.10, 498,928.14 and 200,435.10

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Solution

The fourth proportional to 361,580.10, 498,928.14 and 200,435.10 is: 276,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,580.10 : 498,928.14 = 200,435.10 : x
  2. Step 2: Convert to fraction form
    361,580.10/498,928.14 = 200,435.10/x
  3. Step 3: Cross multiply
    361,580.10x = 498,928.14 × 200,435.10
  4. Step 4: Simplify right side
    361,580.10x = 100,002,711,633.71
  5. Step 5: Solve for x
    x = 100,002,711,633.71/361,580.10
  6. Step 6: Final answer
    x = 276,571.39

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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.