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Finding the Fourth Proportional to 317,714.94, 476,664.65 and 128,077.44

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Solution

The fourth proportional to 317,714.94, 476,664.65 and 128,077.44 is: 192,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,714.94 : 476,664.65 = 128,077.44 : x
  2. Step 2: Convert to fraction form
    317,714.94/476,664.65 = 128,077.44/x
  3. Step 3: Cross multiply
    317,714.94x = 476,664.65 × 128,077.44
  4. Step 4: Simplify right side
    317,714.94x = 61,049,988,110.50
  5. Step 5: Solve for x
    x = 61,049,988,110.50/317,714.94
  6. Step 6: Final answer
    x = 192,153.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.