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Finding the Fourth Proportional to 361,553.32, 498,967.59 and 200,415.16

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Solution

The fourth proportional to 361,553.32, 498,967.59 and 200,415.16 is: 276,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,553.32 : 498,967.59 = 200,415.16 : x
  2. Step 2: Convert to fraction form
    361,553.32/498,967.59 = 200,415.16/x
  3. Step 3: Cross multiply
    361,553.32x = 498,967.59 × 200,415.16
  4. Step 4: Simplify right side
    361,553.32x = 100,000,669,384.66
  5. Step 5: Solve for x
    x = 100,000,669,384.66/361,553.32
  6. Step 6: Final answer
    x = 276,586.23

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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.