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Finding the Fourth Proportional to 403,716.16, 557,130 and 231,640.96

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Solution

The fourth proportional to 403,716.16, 557,130 and 231,640.96 is: 319,665.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,716.16 : 557,130 = 231,640.96 : x
  2. Step 2: Convert to fraction form
    403,716.16/557,130 = 231,640.96/x
  3. Step 3: Cross multiply
    403,716.16x = 557,130 × 231,640.96
  4. Step 4: Simplify right side
    403,716.16x = 129,054,128,044.80
  5. Step 5: Solve for x
    x = 129,054,128,044.80/403,716.16
  6. Step 6: Final answer
    x = 319,665.50

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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.