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Finding the Fourth Proportional to 367,653.68, 507,374.39 and 204,317.07

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Solution

The fourth proportional to 367,653.68, 507,374.39 and 204,317.07 is: 281,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,653.68 : 507,374.39 = 204,317.07 : x
  2. Step 2: Convert to fraction form
    367,653.68/507,374.39 = 204,317.07/x
  3. Step 3: Cross multiply
    367,653.68x = 507,374.39 × 204,317.07
  4. Step 4: Simplify right side
    367,653.68x = 103,665,247,736.25
  5. Step 5: Solve for x
    x = 103,665,247,736.25/367,653.68
  6. Step 6: Final answer
    x = 281,964.39

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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.