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Finding the Fourth Proportional to 296,331.65, 408,940.25 and 173,897.31

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Solution

The fourth proportional to 296,331.65, 408,940.25 and 173,897.31 is: 239,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,331.65 : 408,940.25 = 173,897.31 : x
  2. Step 2: Convert to fraction form
    296,331.65/408,940.25 = 173,897.31/x
  3. Step 3: Cross multiply
    296,331.65x = 408,940.25 × 173,897.31
  4. Step 4: Simplify right side
    296,331.65x = 71,113,610,089.77
  5. Step 5: Solve for x
    x = 71,113,610,089.77/296,331.65
  6. Step 6: Final answer
    x = 239,979.80

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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.