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Finding the Fourth Proportional to 1,296,145.65, 1,944,218.48 and 1,296,145.65

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Solution

The fourth proportional to 1,296,145.65, 1,944,218.48 and 1,296,145.65 is: 1,944,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,145.65 : 1,944,218.48 = 1,296,145.65 : x
  2. Step 2: Convert to fraction form
    1,296,145.65/1,944,218.48 = 1,296,145.65/x
  3. Step 3: Cross multiply
    1,296,145.65x = 1,944,218.48 × 1,296,145.65
  4. Step 4: Simplify right side
    1,296,145.65x = 2,519,990,319,020.88
  5. Step 5: Solve for x
    x = 2,519,990,319,020.88/1,296,145.65
  6. Step 6: Final answer
    x = 1,944,218.48

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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.