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Finding the Fourth Proportional to 296,705.70, 409,453.40 and 160,743.11

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Solution

The fourth proportional to 296,705.70, 409,453.40 and 160,743.11 is: 221,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,705.70 : 409,453.40 = 160,743.11 : x
  2. Step 2: Convert to fraction form
    296,705.70/409,453.40 = 160,743.11/x
  3. Step 3: Cross multiply
    296,705.70x = 409,453.40 × 160,743.11
  4. Step 4: Simplify right side
    296,705.70x = 65,816,811,270.66
  5. Step 5: Solve for x
    x = 65,816,811,270.66/296,705.70
  6. Step 6: Final answer
    x = 221,825.23

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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.