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Finding the Fourth Proportional to 1,299,664.94, 1,949,524.14 and 401,107.23

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Solution

The fourth proportional to 1,299,664.94, 1,949,524.14 and 401,107.23 is: 601,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,664.94 : 1,949,524.14 = 401,107.23 : x
  2. Step 2: Convert to fraction form
    1,299,664.94/1,949,524.14 = 401,107.23/x
  3. Step 3: Cross multiply
    1,299,664.94x = 1,949,524.14 × 401,107.23
  4. Step 4: Simplify right side
    1,299,664.94x = 781,968,227,613.53
  5. Step 5: Solve for x
    x = 781,968,227,613.53/1,299,664.94
  6. Step 6: Final answer
    x = 601,669.10

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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.