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Finding the Fourth Proportional to 296,757.86, 409,667.76 and 169,408.85

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Solution

The fourth proportional to 296,757.86, 409,667.76 and 169,408.85 is: 233,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,757.86 : 409,667.76 = 169,408.85 : x
  2. Step 2: Convert to fraction form
    296,757.86/409,667.76 = 169,408.85/x
  3. Step 3: Cross multiply
    296,757.86x = 409,667.76 × 169,408.85
  4. Step 4: Simplify right side
    296,757.86x = 69,401,342,055.34
  5. Step 5: Solve for x
    x = 69,401,342,055.34/296,757.86
  6. Step 6: Final answer
    x = 233,865.22

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1.5x scale

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.