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Finding the Fourth Proportional to 217,430.40, 325,838.40 and 160,828.80

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Solution

The fourth proportional to 217,430.40, 325,838.40 and 160,828.80 is: 241,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,430.40 : 325,838.40 = 160,828.80 : x
  2. Step 2: Convert to fraction form
    217,430.40/325,838.40 = 160,828.80/x
  3. Step 3: Cross multiply
    217,430.40x = 325,838.40 × 160,828.80
  4. Step 4: Simplify right side
    217,430.40x = 52,404,198,865.92
  5. Step 5: Solve for x
    x = 52,404,198,865.92/217,430.40
  6. Step 6: Final answer
    x = 241,015.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.