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Finding the Fourth Proportional to 646,761.85, 892,558.25 and 360,281.86

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Solution

The fourth proportional to 646,761.85, 892,558.25 and 360,281.86 is: 497,203.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,761.85 : 892,558.25 = 360,281.86 : x
  2. Step 2: Convert to fraction form
    646,761.85/892,558.25 = 360,281.86/x
  3. Step 3: Cross multiply
    646,761.85x = 892,558.25 × 360,281.86
  4. Step 4: Simplify right side
    646,761.85x = 321,572,546,468.35
  5. Step 5: Solve for x
    x = 321,572,546,468.35/646,761.85
  6. Step 6: Final answer
    x = 497,203.95

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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.