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Finding the Fourth Proportional to 406,741.91, 609,706.44 and 193,133.97

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Solution

The fourth proportional to 406,741.91, 609,706.44 and 193,133.97 is: 289,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,741.91 : 609,706.44 = 193,133.97 : x
  2. Step 2: Convert to fraction form
    406,741.91/609,706.44 = 193,133.97/x
  3. Step 3: Cross multiply
    406,741.91x = 609,706.44 × 193,133.97
  4. Step 4: Simplify right side
    406,741.91x = 117,755,025,291.77
  5. Step 5: Solve for x
    x = 117,755,025,291.77/406,741.91
  6. Step 6: Final answer
    x = 289,507.98

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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.