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Finding the Fourth Proportional to 296,514.34, 409,188.06 and 160,545.48

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Solution

The fourth proportional to 296,514.34, 409,188.06 and 160,545.48 is: 221,551.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,514.34 : 409,188.06 = 160,545.48 : x
  2. Step 2: Convert to fraction form
    296,514.34/409,188.06 = 160,545.48/x
  3. Step 3: Cross multiply
    296,514.34x = 409,188.06 × 160,545.48
  4. Step 4: Simplify right side
    296,514.34x = 65,693,293,502.97
  5. Step 5: Solve for x
    x = 65,693,293,502.97/296,514.34
  6. Step 6: Final answer
    x = 221,551.83

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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.