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Finding the Fourth Proportional to 1,723,194.27, 2,584,790.19 and 775,457.82

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Solution

The fourth proportional to 1,723,194.27, 2,584,790.19 and 775,457.82 is: 1,163,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723,194.27 : 2,584,790.19 = 775,457.82 : x
  2. Step 2: Convert to fraction form
    1,723,194.27/2,584,790.19 = 775,457.82/x
  3. Step 3: Cross multiply
    1,723,194.27x = 2,584,790.19 × 775,457.82
  4. Step 4: Simplify right side
    1,723,194.27x = 2,004,395,765,894.79
  5. Step 5: Solve for x
    x = 2,004,395,765,894.79/1,723,194.27
  6. Step 6: Final answer
    x = 1,163,186.18

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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.