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Finding the Fourth Proportional to 285,288.39, 393,697.98 and 157,964.00

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Solution

The fourth proportional to 285,288.39, 393,697.98 and 157,964.00 is: 217,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,288.39 : 393,697.98 = 157,964.00 : x
  2. Step 2: Convert to fraction form
    285,288.39/393,697.98 = 157,964.00/x
  3. Step 3: Cross multiply
    285,288.39x = 393,697.98 × 157,964.00
  4. Step 4: Simplify right side
    285,288.39x = 62,190,105,744.23
  5. Step 5: Solve for x
    x = 62,190,105,744.23/285,288.39
  6. Step 6: Final answer
    x = 217,990.31

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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.