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Finding the Fourth Proportional to 365,168.32, 503,930.94 and 201,820.24

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Solution

The fourth proportional to 365,168.32, 503,930.94 and 201,820.24 is: 278,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,168.32 : 503,930.94 = 201,820.24 : x
  2. Step 2: Convert to fraction form
    365,168.32/503,930.94 = 201,820.24/x
  3. Step 3: Cross multiply
    365,168.32x = 503,930.94 × 201,820.24
  4. Step 4: Simplify right side
    365,168.32x = 101,703,463,254.23
  5. Step 5: Solve for x
    x = 101,703,463,254.23/365,168.32
  6. Step 6: Final answer
    x = 278,511.19

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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.