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Finding the Fourth Proportional to 304,701.57, 456,772.41 and 104,974.47

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Solution

The fourth proportional to 304,701.57, 456,772.41 and 104,974.47 is: 157,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,701.57 : 456,772.41 = 104,974.47 : x
  2. Step 2: Convert to fraction form
    304,701.57/456,772.41 = 104,974.47/x
  3. Step 3: Cross multiply
    304,701.57x = 456,772.41 × 104,974.47
  4. Step 4: Simplify right side
    304,701.57x = 47,949,441,650.37
  5. Step 5: Solve for x
    x = 47,949,441,650.37/304,701.57
  6. Step 6: Final answer
    x = 157,365.26

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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.