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Finding the Fourth Proportional to 304,897.69, 420,905.07 and 214,331.29

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Solution

The fourth proportional to 304,897.69, 420,905.07 and 214,331.29 is: 295,879.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,897.69 : 420,905.07 = 214,331.29 : x
  2. Step 2: Convert to fraction form
    304,897.69/420,905.07 = 214,331.29/x
  3. Step 3: Cross multiply
    304,897.69x = 420,905.07 × 214,331.29
  4. Step 4: Simplify right side
    304,897.69x = 90,213,125,568.38
  5. Step 5: Solve for x
    x = 90,213,125,568.38/304,897.69
  6. Step 6: Final answer
    x = 295,879.99

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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.