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Finding the Fourth Proportional to 364,047.69, 502,388.13 and 202,912.97

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Solution

The fourth proportional to 364,047.69, 502,388.13 and 202,912.97 is: 280,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,047.69 : 502,388.13 = 202,912.97 : x
  2. Step 2: Convert to fraction form
    364,047.69/502,388.13 = 202,912.97/x
  3. Step 3: Cross multiply
    364,047.69x = 502,388.13 × 202,912.97
  4. Step 4: Simplify right side
    364,047.69x = 101,941,067,551.05
  5. Step 5: Solve for x
    x = 101,941,067,551.05/364,047.69
  6. Step 6: Final answer
    x = 280,021.19

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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.