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Finding the Fourth Proportional to 646,871.25, 969,023.39 and 304,846.32

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Solution

The fourth proportional to 646,871.25, 969,023.39 and 304,846.32 is: 456,664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,871.25 : 969,023.39 = 304,846.32 : x
  2. Step 2: Convert to fraction form
    646,871.25/969,023.39 = 304,846.32/x
  3. Step 3: Cross multiply
    646,871.25x = 969,023.39 × 304,846.32
  4. Step 4: Simplify right side
    646,871.25x = 295,403,212,911.19
  5. Step 5: Solve for x
    x = 295,403,212,911.19/646,871.25
  6. Step 6: Final answer
    x = 456,664.62

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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.