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Finding the Fourth Proportional to 313,146.43, 469,714.14 and 216,994.97

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Solution

The fourth proportional to 313,146.43, 469,714.14 and 216,994.97 is: 325,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,146.43 : 469,714.14 = 216,994.97 : x
  2. Step 2: Convert to fraction form
    313,146.43/469,714.14 = 216,994.97/x
  3. Step 3: Cross multiply
    313,146.43x = 469,714.14 × 216,994.97
  4. Step 4: Simplify right side
    313,146.43x = 101,925,605,717.88
  5. Step 5: Solve for x
    x = 101,925,605,717.88/313,146.43
  6. Step 6: Final answer
    x = 325,488.64

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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.