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Finding the Fourth Proportional to 523,076.22, 721,659.51 and 341,892.72

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Solution

The fourth proportional to 523,076.22, 721,659.51 and 341,892.72 is: 471,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,076.22 : 721,659.51 = 341,892.72 : x
  2. Step 2: Convert to fraction form
    523,076.22/721,659.51 = 341,892.72/x
  3. Step 3: Cross multiply
    523,076.22x = 721,659.51 × 341,892.72
  4. Step 4: Simplify right side
    523,076.22x = 246,730,132,787.77
  5. Step 5: Solve for x
    x = 246,730,132,787.77/523,076.22
  6. Step 6: Final answer
    x = 471,690.59

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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.