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Finding the Fourth Proportional to 368,031.63, 507,885.78 and 206,885.27

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Solution

The fourth proportional to 368,031.63, 507,885.78 and 206,885.27 is: 285,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,031.63 : 507,885.78 = 206,885.27 : x
  2. Step 2: Convert to fraction form
    368,031.63/507,885.78 = 206,885.27/x
  3. Step 3: Cross multiply
    368,031.63x = 507,885.78 × 206,885.27
  4. Step 4: Simplify right side
    368,031.63x = 105,074,086,724.46
  5. Step 5: Solve for x
    x = 105,074,086,724.46/368,031.63
  6. Step 6: Final answer
    x = 285,502.87

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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.