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Finding the Fourth Proportional to 369,466.36, 509,863.29 and 199,700.48

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Solution

The fourth proportional to 369,466.36, 509,863.29 and 199,700.48 is: 275,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,466.36 : 509,863.29 = 199,700.48 : x
  2. Step 2: Convert to fraction form
    369,466.36/509,863.29 = 199,700.48/x
  3. Step 3: Cross multiply
    369,466.36x = 509,863.29 × 199,700.48
  4. Step 4: Simplify right side
    369,466.36x = 101,819,943,747.38
  5. Step 5: Solve for x
    x = 101,819,943,747.38/369,466.36
  6. Step 6: Final answer
    x = 275,586.51

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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.