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Finding the Fourth Proportional to 368,031.14, 507,885.09 and 206,884.77

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Solution

The fourth proportional to 368,031.14, 507,885.09 and 206,884.77 is: 285,502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,031.14 : 507,885.09 = 206,884.77 : x
  2. Step 2: Convert to fraction form
    368,031.14/507,885.09 = 206,884.77/x
  3. Step 3: Cross multiply
    368,031.14x = 507,885.09 × 206,884.77
  4. Step 4: Simplify right side
    368,031.14x = 105,073,690,031.08
  5. Step 5: Solve for x
    x = 105,073,690,031.08/368,031.14
  6. Step 6: Final answer
    x = 285,502.18

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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.