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Finding the Fourth Proportional to 465,653.34, 697,895.92 and 199,100.96

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Solution

The fourth proportional to 465,653.34, 697,895.92 and 199,100.96 is: 298,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,653.34 : 697,895.92 = 199,100.96 : x
  2. Step 2: Convert to fraction form
    465,653.34/697,895.92 = 199,100.96/x
  3. Step 3: Cross multiply
    465,653.34x = 697,895.92 × 199,100.96
  4. Step 4: Simplify right side
    465,653.34x = 138,951,747,652.08
  5. Step 5: Solve for x
    x = 138,951,747,652.08/465,653.34
  6. Step 6: Final answer
    x = 298,401.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.