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Finding the Fourth Proportional to 285,309.79, 393,722.70 and 157,982.65

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Solution

The fourth proportional to 285,309.79, 393,722.70 and 157,982.65 is: 218,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,309.79 : 393,722.70 = 157,982.65 : x
  2. Step 2: Convert to fraction form
    285,309.79/393,722.70 = 157,982.65/x
  3. Step 3: Cross multiply
    285,309.79x = 393,722.70 × 157,982.65
  4. Step 4: Simplify right side
    285,309.79x = 62,201,355,511.16
  5. Step 5: Solve for x
    x = 62,201,355,511.16/285,309.79
  6. Step 6: Final answer
    x = 218,013.39

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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.