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Finding the Fourth Proportional to 365,168.82, 503,931.63 and 201,820.74

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Solution

The fourth proportional to 365,168.82, 503,931.63 and 201,820.74 is: 278,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,168.82 : 503,931.63 = 201,820.74 : x
  2. Step 2: Convert to fraction form
    365,168.82/503,931.63 = 201,820.74/x
  3. Step 3: Cross multiply
    365,168.82x = 503,931.63 × 201,820.74
  4. Step 4: Simplify right side
    365,168.82x = 101,703,854,476.01
  5. Step 5: Solve for x
    x = 101,703,854,476.01/365,168.82
  6. Step 6: Final answer
    x = 278,511.88

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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.