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Finding the Fourth Proportional to 406,223.51, 608,937.54 and 169,633.85

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Solution

The fourth proportional to 406,223.51, 608,937.54 and 169,633.85 is: 254,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,223.51 : 608,937.54 = 169,633.85 : x
  2. Step 2: Convert to fraction form
    406,223.51/608,937.54 = 169,633.85/x
  3. Step 3: Cross multiply
    406,223.51x = 608,937.54 × 169,633.85
  4. Step 4: Simplify right side
    406,223.51x = 103,296,419,319.73
  5. Step 5: Solve for x
    x = 103,296,419,319.73/406,223.51
  6. Step 6: Final answer
    x = 254,284.69

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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.