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Finding the Fourth Proportional to 304,032, 419,564.16 and 169,896

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Solution

The fourth proportional to 304,032, 419,564.16 and 169,896 is: 234,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,032 : 419,564.16 = 169,896 : x
  2. Step 2: Convert to fraction form
    304,032/419,564.16 = 169,896/x
  3. Step 3: Cross multiply
    304,032x = 419,564.16 × 169,896
  4. Step 4: Simplify right side
    304,032x = 71,282,272,527.36
  5. Step 5: Solve for x
    x = 71,282,272,527.36/304,032
  6. Step 6: Final answer
    x = 234,456.48

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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.