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Finding the Fourth Proportional to 334,116, 461,080.17 and 183,216.24

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Solution

The fourth proportional to 334,116, 461,080.17 and 183,216.24 is: 252,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,116 : 461,080.17 = 183,216.24 : x
  2. Step 2: Convert to fraction form
    334,116/461,080.17 = 183,216.24/x
  3. Step 3: Cross multiply
    334,116x = 461,080.17 × 183,216.24
  4. Step 4: Simplify right side
    334,116x = 84,477,375,085.96
  5. Step 5: Solve for x
    x = 84,477,375,085.96/334,116
  6. Step 6: Final answer
    x = 252,838.46

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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.