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Finding the Fourth Proportional to 646,577.76, 892,305 and 360,097.85

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Solution

The fourth proportional to 646,577.76, 892,305 and 360,097.85 is: 496,950.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,577.76 : 892,305 = 360,097.85 : x
  2. Step 2: Convert to fraction form
    646,577.76/892,305 = 360,097.85/x
  3. Step 3: Cross multiply
    646,577.76x = 892,305 × 360,097.85
  4. Step 4: Simplify right side
    646,577.76x = 321,317,107,582.73
  5. Step 5: Solve for x
    x = 321,317,107,582.73/646,577.76
  6. Step 6: Final answer
    x = 496,950.45

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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.