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Finding the Fourth Proportional to 296,668.17, 409,404.03 and 160,702.11

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Solution

The fourth proportional to 296,668.17, 409,404.03 and 160,702.11 is: 221,769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,668.17 : 409,404.03 = 160,702.11 : x
  2. Step 2: Convert to fraction form
    296,668.17/409,404.03 = 160,702.11/x
  3. Step 3: Cross multiply
    296,668.17x = 409,404.03 × 160,702.11
  4. Step 4: Simplify right side
    296,668.17x = 65,792,091,463.50
  5. Step 5: Solve for x
    x = 65,792,091,463.50/296,668.17
  6. Step 6: Final answer
    x = 221,769.97

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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.