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Finding the Fourth Proportional to 367,425.24, 507,007.62 and 206,298

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Solution

The fourth proportional to 367,425.24, 507,007.62 and 206,298 is: 284,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,425.24 : 507,007.62 = 206,298 : x
  2. Step 2: Convert to fraction form
    367,425.24/507,007.62 = 206,298/x
  3. Step 3: Cross multiply
    367,425.24x = 507,007.62 × 206,298
  4. Step 4: Simplify right side
    367,425.24x = 104,594,657,990.76
  5. Step 5: Solve for x
    x = 104,594,657,990.76/367,425.24
  6. Step 6: Final answer
    x = 284,669.22

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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.