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Finding the Fourth Proportional to 304,147.78, 419,776.02 and 176,897.18

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Solution

The fourth proportional to 304,147.78, 419,776.02 and 176,897.18 is: 244,148.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,147.78 : 419,776.02 = 176,897.18 : x
  2. Step 2: Convert to fraction form
    304,147.78/419,776.02 = 176,897.18/x
  3. Step 3: Cross multiply
    304,147.78x = 419,776.02 × 176,897.18
  4. Step 4: Simplify right side
    304,147.78x = 74,257,195,219.06
  5. Step 5: Solve for x
    x = 74,257,195,219.06/304,147.78
  6. Step 6: Final answer
    x = 244,148.41

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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.