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Finding the Fourth Proportional to 406,578.44, 609,761.37 and 122,192.93

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Solution

The fourth proportional to 406,578.44, 609,761.37 and 122,192.93 is: 183,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,578.44 : 609,761.37 = 122,192.93 : x
  2. Step 2: Convert to fraction form
    406,578.44/609,761.37 = 122,192.93/x
  3. Step 3: Cross multiply
    406,578.44x = 609,761.37 × 122,192.93
  4. Step 4: Simplify right side
    406,578.44x = 74,508,527,981.45
  5. Step 5: Solve for x
    x = 74,508,527,981.45/406,578.44
  6. Step 6: Final answer
    x = 183,257.45

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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.