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Finding the Fourth Proportional to 370,866.11, 511,795.49 and 201,100.24

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Solution

The fourth proportional to 370,866.11, 511,795.49 and 201,100.24 is: 277,518.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,866.11 : 511,795.49 = 201,100.24 : x
  2. Step 2: Convert to fraction form
    370,866.11/511,795.49 = 201,100.24/x
  3. Step 3: Cross multiply
    370,866.11x = 511,795.49 × 201,100.24
  4. Step 4: Simplify right side
    370,866.11x = 102,922,195,869.92
  5. Step 5: Solve for x
    x = 102,922,195,869.92/370,866.11
  6. Step 6: Final answer
    x = 277,518.47

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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.