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Finding the Fourth Proportional to 473,940.91, 710,841.26 and 174,351.42

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Solution

The fourth proportional to 473,940.91, 710,841.26 and 174,351.42 is: 261,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,940.91 : 710,841.26 = 174,351.42 : x
  2. Step 2: Convert to fraction form
    473,940.91/710,841.26 = 174,351.42/x
  3. Step 3: Cross multiply
    473,940.91x = 710,841.26 × 174,351.42
  4. Step 4: Simplify right side
    473,940.91x = 123,936,183,511.47
  5. Step 5: Solve for x
    x = 123,936,183,511.47/473,940.91
  6. Step 6: Final answer
    x = 261,501.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.