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Finding the Fourth Proportional to 1,296,110.20, 1,940,666.10 and 1,296,110.20

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Solution

The fourth proportional to 1,296,110.20, 1,940,666.10 and 1,296,110.20 is: 1,940,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,110.20 : 1,940,666.10 = 1,296,110.20 : x
  2. Step 2: Convert to fraction form
    1,296,110.20/1,940,666.10 = 1,296,110.20/x
  3. Step 3: Cross multiply
    1,296,110.20x = 1,940,666.10 × 1,296,110.20
  4. Step 4: Simplify right side
    1,296,110.20x = 2,515,317,127,004.22
  5. Step 5: Solve for x
    x = 2,515,317,127,004.22/1,296,110.20
  6. Step 6: Final answer
    x = 1,940,666.10

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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.