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Finding the Fourth Proportional to 326,178, 450,144.24 and 182,926.65

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Solution

The fourth proportional to 326,178, 450,144.24 and 182,926.65 is: 252,449.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,178 : 450,144.24 = 182,926.65 : x
  2. Step 2: Convert to fraction form
    326,178/450,144.24 = 182,926.65/x
  3. Step 3: Cross multiply
    326,178x = 450,144.24 × 182,926.65
  4. Step 4: Simplify right side
    326,178x = 82,343,377,840.00
  5. Step 5: Solve for x
    x = 82,343,377,840.00/326,178
  6. Step 6: Final answer
    x = 252,449.21

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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.