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Finding the Fourth Proportional to 616,286.26, 850,473.25 and 340,642.27

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Solution

The fourth proportional to 616,286.26, 850,473.25 and 340,642.27 is: 470,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,286.26 : 850,473.25 = 340,642.27 : x
  2. Step 2: Convert to fraction form
    616,286.26/850,473.25 = 340,642.27/x
  3. Step 3: Cross multiply
    616,286.26x = 850,473.25 × 340,642.27
  4. Step 4: Simplify right side
    616,286.26x = 289,707,140,581.88
  5. Step 5: Solve for x
    x = 289,707,140,581.88/616,286.26
  6. Step 6: Final answer
    x = 470,085.35

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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.