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Finding the Fourth Proportional to 289,524.93, 399,566.55 and 167,039.25

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Solution

The fourth proportional to 289,524.93, 399,566.55 and 167,039.25 is: 230,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,524.93 : 399,566.55 = 167,039.25 : x
  2. Step 2: Convert to fraction form
    289,524.93/399,566.55 = 167,039.25/x
  3. Step 3: Cross multiply
    289,524.93x = 399,566.55 × 167,039.25
  4. Step 4: Simplify right side
    289,524.93x = 66,743,296,837.09
  5. Step 5: Solve for x
    x = 66,743,296,837.09/289,524.93
  6. Step 6: Final answer
    x = 230,526.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.