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Finding the Fourth Proportional to 456,290.96, 629,759.22 and 265,415

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Solution

The fourth proportional to 456,290.96, 629,759.22 and 265,415 is: 366,317.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,290.96 : 629,759.22 = 265,415 : x
  2. Step 2: Convert to fraction form
    456,290.96/629,759.22 = 265,415/x
  3. Step 3: Cross multiply
    456,290.96x = 629,759.22 × 265,415
  4. Step 4: Simplify right side
    456,290.96x = 167,147,543,376.30
  5. Step 5: Solve for x
    x = 167,147,543,376.30/456,290.96
  6. Step 6: Final answer
    x = 366,317.89

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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.