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Finding the Fourth Proportional to 334,118.55, 461,078.01 and 188,922

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Solution

The fourth proportional to 334,118.55, 461,078.01 and 188,922 is: 260,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,118.55 : 461,078.01 = 188,922 : x
  2. Step 2: Convert to fraction form
    334,118.55/461,078.01 = 188,922/x
  3. Step 3: Cross multiply
    334,118.55x = 461,078.01 × 188,922
  4. Step 4: Simplify right side
    334,118.55x = 87,107,779,805.22
  5. Step 5: Solve for x
    x = 87,107,779,805.22/334,118.55
  6. Step 6: Final answer
    x = 260,709.20

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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.