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Finding the Fourth Proportional to 431,513.63, 595,558.98 and 259,605.33

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Solution

The fourth proportional to 431,513.63, 595,558.98 and 259,605.33 is: 358,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,513.63 : 595,558.98 = 259,605.33 : x
  2. Step 2: Convert to fraction form
    431,513.63/595,558.98 = 259,605.33/x
  3. Step 3: Cross multiply
    431,513.63x = 595,558.98 × 259,605.33
  4. Step 4: Simplify right side
    431,513.63x = 154,610,284,979.03
  5. Step 5: Solve for x
    x = 154,610,284,979.03/431,513.63
  6. Step 6: Final answer
    x = 358,297.57

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