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Finding the Fourth Proportional to 296,486.99, 409,144.47 and 165,665.69

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Solution

The fourth proportional to 296,486.99, 409,144.47 and 165,665.69 is: 228,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,486.99 : 409,144.47 = 165,665.69 : x
  2. Step 2: Convert to fraction form
    296,486.99/409,144.47 = 165,665.69/x
  3. Step 3: Cross multiply
    296,486.99x = 409,144.47 × 165,665.69
  4. Step 4: Simplify right side
    296,486.99x = 67,781,200,932.23
  5. Step 5: Solve for x
    x = 67,781,200,932.23/296,486.99
  6. Step 6: Final answer
    x = 228,614.42

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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.