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Finding the Fourth Proportional to 406,523.48, 609,926.69 and 181,907.64

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Solution

The fourth proportional to 406,523.48, 609,926.69 and 181,907.64 is: 272,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,523.48 : 609,926.69 = 181,907.64 : x
  2. Step 2: Convert to fraction form
    406,523.48/609,926.69 = 181,907.64/x
  3. Step 3: Cross multiply
    406,523.48x = 609,926.69 × 181,907.64
  4. Step 4: Simplify right side
    406,523.48x = 110,950,325,205.68
  5. Step 5: Solve for x
    x = 110,950,325,205.68/406,523.48
  6. Step 6: Final answer
    x = 272,924.77

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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.