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Finding the Fourth Proportional to 369,460.44, 509,857.74 and 199,694.16

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Solution

The fourth proportional to 369,460.44, 509,857.74 and 199,694.16 is: 275,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,460.44 : 509,857.74 = 199,694.16 : x
  2. Step 2: Convert to fraction form
    369,460.44/509,857.74 = 199,694.16/x
  3. Step 3: Cross multiply
    369,460.44x = 509,857.74 × 199,694.16
  4. Step 4: Simplify right side
    369,460.44x = 101,815,613,108.80
  5. Step 5: Solve for x
    x = 101,815,613,108.80/369,460.44
  6. Step 6: Final answer
    x = 275,579.20

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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.