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Finding the Fourth Proportional to 1,225,986.41, 1,691,834.72 and 709,762.16

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Solution

The fourth proportional to 1,225,986.41, 1,691,834.72 and 709,762.16 is: 979,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,986.41 : 1,691,834.72 = 709,762.16 : x
  2. Step 2: Convert to fraction form
    1,225,986.41/1,691,834.72 = 709,762.16/x
  3. Step 3: Cross multiply
    1,225,986.41x = 1,691,834.72 × 709,762.16
  4. Step 4: Simplify right side
    1,225,986.41x = 1,200,800,253,222.21
  5. Step 5: Solve for x
    x = 1,200,800,253,222.21/1,225,986.41
  6. Step 6: Final answer
    x = 979,456.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.