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Finding the Fourth Proportional to 341,714.52, 471,787.74 and 305,842.32

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Solution

The fourth proportional to 341,714.52, 471,787.74 and 305,842.32 is: 422,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,714.52 : 471,787.74 = 305,842.32 : x
  2. Step 2: Convert to fraction form
    341,714.52/471,787.74 = 305,842.32/x
  3. Step 3: Cross multiply
    341,714.52x = 471,787.74 × 305,842.32
  4. Step 4: Simplify right side
    341,714.52x = 144,292,656,949.16
  5. Step 5: Solve for x
    x = 144,292,656,949.16/341,714.52
  6. Step 6: Final answer
    x = 422,260.83

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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.