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Finding the Fourth Proportional to 285,071.79, 393,407.24 and 157,759.23

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Solution

The fourth proportional to 285,071.79, 393,407.24 and 157,759.23 is: 217,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,071.79 : 393,407.24 = 157,759.23 : x
  2. Step 2: Convert to fraction form
    285,071.79/393,407.24 = 157,759.23/x
  3. Step 3: Cross multiply
    285,071.79x = 393,407.24 × 157,759.23
  4. Step 4: Simplify right side
    285,071.79x = 62,063,622,470.03
  5. Step 5: Solve for x
    x = 62,063,622,470.03/285,071.79
  6. Step 6: Final answer
    x = 217,712.26

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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.