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Finding the Fourth Proportional to 367,398.69, 507,009.82 and 206,254.03

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Solution

The fourth proportional to 367,398.69, 507,009.82 and 206,254.03 is: 284,630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,398.69 : 507,009.82 = 206,254.03 : x
  2. Step 2: Convert to fraction form
    367,398.69/507,009.82 = 206,254.03/x
  3. Step 3: Cross multiply
    367,398.69x = 507,009.82 × 206,254.03
  4. Step 4: Simplify right side
    367,398.69x = 104,572,820,027.68
  5. Step 5: Solve for x
    x = 104,572,820,027.68/367,398.69
  6. Step 6: Final answer
    x = 284,630.36

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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.