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Finding the Fourth Proportional to 296,210.48, 408,769.22 and 160,244.11

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Solution

The fourth proportional to 296,210.48, 408,769.22 and 160,244.11 is: 221,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,210.48 : 408,769.22 = 160,244.11 : x
  2. Step 2: Convert to fraction form
    296,210.48/408,769.22 = 160,244.11/x
  3. Step 3: Cross multiply
    296,210.48x = 408,769.22 × 160,244.11
  4. Step 4: Simplify right side
    296,210.48x = 65,502,859,232.98
  5. Step 5: Solve for x
    x = 65,502,859,232.98/296,210.48
  6. Step 6: Final answer
    x = 221,136.20

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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.