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Finding the Fourth Proportional to 296,514.16, 409,190.33 and 160,549.79

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Solution

The fourth proportional to 296,514.16, 409,190.33 and 160,549.79 is: 221,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,514.16 : 409,190.33 = 160,549.79 : x
  2. Step 2: Convert to fraction form
    296,514.16/409,190.33 = 160,549.79/x
  3. Step 3: Cross multiply
    296,514.16x = 409,190.33 × 160,549.79
  4. Step 4: Simplify right side
    296,514.16x = 65,695,419,906.95
  5. Step 5: Solve for x
    x = 65,695,419,906.95/296,514.16
  6. Step 6: Final answer
    x = 221,559.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.