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Finding the Fourth Proportional to 304,301.54, 419,928.53 and 168,343.04

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Solution

The fourth proportional to 304,301.54, 419,928.53 and 168,343.04 is: 232,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,301.54 : 419,928.53 = 168,343.04 : x
  2. Step 2: Convert to fraction form
    304,301.54/419,928.53 = 168,343.04/x
  3. Step 3: Cross multiply
    304,301.54x = 419,928.53 × 168,343.04
  4. Step 4: Simplify right side
    304,301.54x = 70,692,045,322.93
  5. Step 5: Solve for x
    x = 70,692,045,322.93/304,301.54
  6. Step 6: Final answer
    x = 232,309.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.