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Finding the Fourth Proportional to 341,714.74, 471,486.54 and 198,388.48

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Solution

The fourth proportional to 341,714.74, 471,486.54 and 198,388.48 is: 273,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,714.74 : 471,486.54 = 198,388.48 : x
  2. Step 2: Convert to fraction form
    341,714.74/471,486.54 = 198,388.48/x
  3. Step 3: Cross multiply
    341,714.74x = 471,486.54 × 198,388.48
  4. Step 4: Simplify right side
    341,714.74x = 93,537,498,011.06
  5. Step 5: Solve for x
    x = 93,537,498,011.06/341,714.74
  6. Step 6: Final answer
    x = 273,729.77

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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.