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Finding the Fourth Proportional to 367,402.68, 507,015.34 and 206,258.04

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Solution

The fourth proportional to 367,402.68, 507,015.34 and 206,258.04 is: 284,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,402.68 : 507,015.34 = 206,258.04 : x
  2. Step 2: Convert to fraction form
    367,402.68/507,015.34 = 206,258.04/x
  3. Step 3: Cross multiply
    367,402.68x = 507,015.34 × 206,258.04
  4. Step 4: Simplify right side
    367,402.68x = 104,575,990,278.33
  5. Step 5: Solve for x
    x = 104,575,990,278.33/367,402.68
  6. Step 6: Final answer
    x = 284,635.89

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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.