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Finding the Fourth Proportional to 294,722.59, 406,717.17 and 160,586.59

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Solution

The fourth proportional to 294,722.59, 406,717.17 and 160,586.59 is: 221,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,722.59 : 406,717.17 = 160,586.59 : x
  2. Step 2: Convert to fraction form
    294,722.59/406,717.17 = 160,586.59/x
  3. Step 3: Cross multiply
    294,722.59x = 406,717.17 × 160,586.59
  4. Step 4: Simplify right side
    294,722.59x = 65,313,321,792.63
  5. Step 5: Solve for x
    x = 65,313,321,792.63/294,722.59
  6. Step 6: Final answer
    x = 221,609.49

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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.