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Finding the Fourth Proportional to 463,053.06, 638,810.46 and 271,980.32

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Solution

The fourth proportional to 463,053.06, 638,810.46 and 271,980.32 is: 375,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,053.06 : 638,810.46 = 271,980.32 : x
  2. Step 2: Convert to fraction form
    463,053.06/638,810.46 = 271,980.32/x
  3. Step 3: Cross multiply
    463,053.06x = 638,810.46 × 271,980.32
  4. Step 4: Simplify right side
    463,053.06x = 173,743,873,330.15
  5. Step 5: Solve for x
    x = 173,743,873,330.15/463,053.06
  6. Step 6: Final answer
    x = 375,213.75

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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.