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Finding the Fourth Proportional to 364,057.99, 502,402.35 and 202,923.25

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Solution

The fourth proportional to 364,057.99, 502,402.35 and 202,923.25 is: 280,035.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,057.99 : 502,402.35 = 202,923.25 : x
  2. Step 2: Convert to fraction form
    364,057.99/502,402.35 = 202,923.25/x
  3. Step 3: Cross multiply
    364,057.99x = 502,402.35 × 202,923.25
  4. Step 4: Simplify right side
    364,057.99x = 101,949,117,669.64
  5. Step 5: Solve for x
    x = 101,949,117,669.64/364,057.99
  6. Step 6: Final answer
    x = 280,035.38

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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.