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Finding the Fourth Proportional to 361,410.39, 498,740.49 and 200,264.94

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Solution

The fourth proportional to 361,410.39, 498,740.49 and 200,264.94 is: 276,362.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,410.39 : 498,740.49 = 200,264.94 : x
  2. Step 2: Convert to fraction form
    361,410.39/498,740.49 = 200,264.94/x
  3. Step 3: Cross multiply
    361,410.39x = 498,740.49 × 200,264.94
  4. Step 4: Simplify right side
    361,410.39x = 99,880,234,305.42
  5. Step 5: Solve for x
    x = 99,880,234,305.42/361,410.39
  6. Step 6: Final answer
    x = 276,362.38

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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.