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Finding the Fourth Proportional to 340,726.77, 470,206.10 and 187,770.44

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Solution

The fourth proportional to 340,726.77, 470,206.10 and 187,770.44 is: 259,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,726.77 : 470,206.10 = 187,770.44 : x
  2. Step 2: Convert to fraction form
    340,726.77/470,206.10 = 187,770.44/x
  3. Step 3: Cross multiply
    340,726.77x = 470,206.10 × 187,770.44
  4. Step 4: Simplify right side
    340,726.77x = 88,290,802,997.80
  5. Step 5: Solve for x
    x = 88,290,802,997.80/340,726.77
  6. Step 6: Final answer
    x = 259,124.94

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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.