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Finding the Fourth Proportional to 328,446.96, 492,696.38 and 103,824.51

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Solution

The fourth proportional to 328,446.96, 492,696.38 and 103,824.51 is: 155,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,446.96 : 492,696.38 = 103,824.51 : x
  2. Step 2: Convert to fraction form
    328,446.96/492,696.38 = 103,824.51/x
  3. Step 3: Cross multiply
    328,446.96x = 492,696.38 × 103,824.51
  4. Step 4: Simplify right side
    328,446.96x = 51,153,960,232.27
  5. Step 5: Solve for x
    x = 51,153,960,232.27/328,446.96
  6. Step 6: Final answer
    x = 155,744.96

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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.