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Finding the Fourth Proportional to 360,825.27, 497,946.99 and 233,722.09

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Solution

The fourth proportional to 360,825.27, 497,946.99 and 233,722.09 is: 322,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,825.27 : 497,946.99 = 233,722.09 : x
  2. Step 2: Convert to fraction form
    360,825.27/497,946.99 = 233,722.09/x
  3. Step 3: Cross multiply
    360,825.27x = 497,946.99 × 233,722.09
  4. Step 4: Simplify right side
    360,825.27x = 116,381,211,212.01
  5. Step 5: Solve for x
    x = 116,381,211,212.01/360,825.27
  6. Step 6: Final answer
    x = 322,541.75

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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.