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Finding the Fourth Proportional to 361,509.08, 498,874.82 and 200,362.68

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Solution

The fourth proportional to 361,509.08, 498,874.82 and 200,362.68 is: 276,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,509.08 : 498,874.82 = 200,362.68 : x
  2. Step 2: Convert to fraction form
    361,509.08/498,874.82 = 200,362.68/x
  3. Step 3: Cross multiply
    361,509.08x = 498,874.82 × 200,362.68
  4. Step 4: Simplify right side
    361,509.08x = 99,955,894,917.90
  5. Step 5: Solve for x
    x = 99,955,894,917.90/361,509.08
  6. Step 6: Final answer
    x = 276,496.23

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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.