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Finding the Fourth Proportional to 294,744.71, 406,747.62 and 160,608.71

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Solution

The fourth proportional to 294,744.71, 406,747.62 and 160,608.71 is: 221,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,744.71 : 406,747.62 = 160,608.71 : x
  2. Step 2: Convert to fraction form
    294,744.71/406,747.62 = 160,608.71/x
  3. Step 3: Cross multiply
    294,744.71x = 406,747.62 × 160,608.71
  4. Step 4: Simplify right side
    294,744.71x = 65,327,208,510.03
  5. Step 5: Solve for x
    x = 65,327,208,510.03/294,744.71
  6. Step 6: Final answer
    x = 221,639.97

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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.