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Finding the Fourth Proportional to 364,471.22, 502,698.74 and 267,644.64

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Solution

The fourth proportional to 364,471.22, 502,698.74 and 267,644.64 is: 369,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,471.22 : 502,698.74 = 267,644.64 : x
  2. Step 2: Convert to fraction form
    364,471.22/502,698.74 = 267,644.64/x
  3. Step 3: Cross multiply
    364,471.22x = 502,698.74 × 267,644.64
  4. Step 4: Simplify right side
    364,471.22x = 134,544,623,295.75
  5. Step 5: Solve for x
    x = 134,544,623,295.75/364,471.22
  6. Step 6: Final answer
    x = 369,150.20

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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.