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Finding the Fourth Proportional to 364,255.64, 502,660.34 and 200,918.64

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Solution

The fourth proportional to 364,255.64, 502,660.34 and 200,918.64 is: 277,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,255.64 : 502,660.34 = 200,918.64 : x
  2. Step 2: Convert to fraction form
    364,255.64/502,660.34 = 200,918.64/x
  3. Step 3: Cross multiply
    364,255.64x = 502,660.34 × 200,918.64
  4. Step 4: Simplify right side
    364,255.64x = 100,993,832,397.03
  5. Step 5: Solve for x
    x = 100,993,832,397.03/364,255.64
  6. Step 6: Final answer
    x = 277,260.86

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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.