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Finding the Fourth Proportional to 441,029.80, 661,544.70 and 307,628.20

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Solution

The fourth proportional to 441,029.80, 661,544.70 and 307,628.20 is: 461,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,029.80 : 661,544.70 = 307,628.20 : x
  2. Step 2: Convert to fraction form
    441,029.80/661,544.70 = 307,628.20/x
  3. Step 3: Cross multiply
    441,029.80x = 661,544.70 × 307,628.20
  4. Step 4: Simplify right side
    441,029.80x = 203,509,805,280.54
  5. Step 5: Solve for x
    x = 203,509,805,280.54/441,029.80
  6. Step 6: Final answer
    x = 461,442.30

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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.