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Finding the Fourth Proportional to 646,745.85, 892,536.84 and 360,266.06

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Solution

The fourth proportional to 646,745.85, 892,536.84 and 360,266.06 is: 497,182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,745.85 : 892,536.84 = 360,266.06 : x
  2. Step 2: Convert to fraction form
    646,745.85/892,536.84 = 360,266.06/x
  3. Step 3: Cross multiply
    646,745.85x = 892,536.84 × 360,266.06
  4. Step 4: Simplify right side
    646,745.85x = 321,550,726,288.97
  5. Step 5: Solve for x
    x = 321,550,726,288.97/646,745.85
  6. Step 6: Final answer
    x = 497,182.51

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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.