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Finding the Fourth Proportional to 291,578.23, 402,513.03 and 205,607.26

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Solution

The fourth proportional to 291,578.23, 402,513.03 and 205,607.26 is: 283,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,578.23 : 402,513.03 = 205,607.26 : x
  2. Step 2: Convert to fraction form
    291,578.23/402,513.03 = 205,607.26/x
  3. Step 3: Cross multiply
    291,578.23x = 402,513.03 × 205,607.26
  4. Step 4: Simplify right side
    291,578.23x = 82,759,601,212.60
  5. Step 5: Solve for x
    x = 82,759,601,212.60/291,578.23
  6. Step 6: Final answer
    x = 283,833.27

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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.