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Finding the Fourth Proportional to 406,034.88, 608,351.40 and 269,173.68

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Solution

The fourth proportional to 406,034.88, 608,351.40 and 269,173.68 is: 403,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,034.88 : 608,351.40 = 269,173.68 : x
  2. Step 2: Convert to fraction form
    406,034.88/608,351.40 = 269,173.68/x
  3. Step 3: Cross multiply
    406,034.88x = 608,351.40 × 269,173.68
  4. Step 4: Simplify right side
    406,034.88x = 163,752,185,071.15
  5. Step 5: Solve for x
    x = 163,752,185,071.15/406,034.88
  6. Step 6: Final answer
    x = 403,295.86

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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.