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Finding the Fourth Proportional to 1,467,664.60, 2,201,496.93 and 1,467,664.60

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Solution

The fourth proportional to 1,467,664.60, 2,201,496.93 and 1,467,664.60 is: 2,201,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,664.60 : 2,201,496.93 = 1,467,664.60 : x
  2. Step 2: Convert to fraction form
    1,467,664.60/2,201,496.93 = 1,467,664.60/x
  3. Step 3: Cross multiply
    1,467,664.60x = 2,201,496.93 × 1,467,664.60
  4. Step 4: Simplify right side
    1,467,664.60x = 3,231,059,111,169.68
  5. Step 5: Solve for x
    x = 3,231,059,111,169.68/1,467,664.60
  6. Step 6: Final answer
    x = 2,201,496.93

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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.