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Finding the Fourth Proportional to 378,613.39, 567,085.69 and 312,952.24

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Solution

The fourth proportional to 378,613.39, 567,085.69 and 312,952.24 is: 468,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,613.39 : 567,085.69 = 312,952.24 : x
  2. Step 2: Convert to fraction form
    378,613.39/567,085.69 = 312,952.24/x
  3. Step 3: Cross multiply
    378,613.39x = 567,085.69 × 312,952.24
  4. Step 4: Simplify right side
    378,613.39x = 177,470,738,772.24
  5. Step 5: Solve for x
    x = 177,470,738,772.24/378,613.39
  6. Step 6: Final answer
    x = 468,738.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.