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Finding the Fourth Proportional to 463,448.25, 695,176.64 and 182,965.50

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Solution

The fourth proportional to 463,448.25, 695,176.64 and 182,965.50 is: 274,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,448.25 : 695,176.64 = 182,965.50 : x
  2. Step 2: Convert to fraction form
    463,448.25/695,176.64 = 182,965.50/x
  3. Step 3: Cross multiply
    463,448.25x = 695,176.64 × 182,965.50
  4. Step 4: Simplify right side
    463,448.25x = 127,193,340,611.09
  5. Step 5: Solve for x
    x = 127,193,340,611.09/463,448.25
  6. Step 6: Final answer
    x = 274,449.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.