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Finding the Fourth Proportional to 367,635.94, 507,301.77 and 206,454.34

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Solution

The fourth proportional to 367,635.94, 507,301.77 and 206,454.34 is: 284,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,635.94 : 507,301.77 = 206,454.34 : x
  2. Step 2: Convert to fraction form
    367,635.94/507,301.77 = 206,454.34/x
  3. Step 3: Cross multiply
    367,635.94x = 507,301.77 × 206,454.34
  4. Step 4: Simplify right side
    367,635.94x = 104,734,652,106.18
  5. Step 5: Solve for x
    x = 104,734,652,106.18/367,635.94
  6. Step 6: Final answer
    x = 284,886.87

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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.