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Finding the Fourth Proportional to 296,540.94, 409,255.80 and 169,235.67

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Solution

The fourth proportional to 296,540.94, 409,255.80 and 169,235.67 is: 233,561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,540.94 : 409,255.80 = 169,235.67 : x
  2. Step 2: Convert to fraction form
    296,540.94/409,255.80 = 169,235.67/x
  3. Step 3: Cross multiply
    296,540.94x = 409,255.80 × 169,235.67
  4. Step 4: Simplify right side
    296,540.94x = 69,260,679,514.39
  5. Step 5: Solve for x
    x = 69,260,679,514.39/296,540.94
  6. Step 6: Final answer
    x = 233,561.95

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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.