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Finding the Fourth Proportional to 1,299,583.14, 1,949,504.90 and 446,542.40

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Solution

The fourth proportional to 1,299,583.14, 1,949,504.90 and 446,542.40 is: 669,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,583.14 : 1,949,504.90 = 446,542.40 : x
  2. Step 2: Convert to fraction form
    1,299,583.14/1,949,504.90 = 446,542.40/x
  3. Step 3: Cross multiply
    1,299,583.14x = 1,949,504.90 × 446,542.40
  4. Step 4: Simplify right side
    1,299,583.14x = 870,536,596,857.76
  5. Step 5: Solve for x
    x = 870,536,596,857.76/1,299,583.14
  6. Step 6: Final answer
    x = 669,858.33

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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.