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Finding the Fourth Proportional to 334,714.55, 461,790.61 and 213,926.54

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Solution

The fourth proportional to 334,714.55, 461,790.61 and 213,926.54 is: 295,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,714.55 : 461,790.61 = 213,926.54 : x
  2. Step 2: Convert to fraction form
    334,714.55/461,790.61 = 213,926.54/x
  3. Step 3: Cross multiply
    334,714.55x = 461,790.61 × 213,926.54
  4. Step 4: Simplify right side
    334,714.55x = 98,789,264,558.02
  5. Step 5: Solve for x
    x = 98,789,264,558.02/334,714.55
  6. Step 6: Final answer
    x = 295,144.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.