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Finding the Fourth Proportional to 334,462.10, 461,558.01 and 191,225.14

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Solution

The fourth proportional to 334,462.10, 461,558.01 and 191,225.14 is: 263,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,462.10 : 461,558.01 = 191,225.14 : x
  2. Step 2: Convert to fraction form
    334,462.10/461,558.01 = 191,225.14/x
  3. Step 3: Cross multiply
    334,462.10x = 461,558.01 × 191,225.14
  4. Step 4: Simplify right side
    334,462.10x = 88,261,495,080.37
  5. Step 5: Solve for x
    x = 88,261,495,080.37/334,462.10
  6. Step 6: Final answer
    x = 263,890.87

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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.