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Finding the Fourth Proportional to 513,670.33, 708,802.94 and 295,950.23

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Solution

The fourth proportional to 513,670.33, 708,802.94 and 295,950.23 is: 408,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,670.33 : 708,802.94 = 295,950.23 : x
  2. Step 2: Convert to fraction form
    513,670.33/708,802.94 = 295,950.23/x
  3. Step 3: Cross multiply
    513,670.33x = 708,802.94 × 295,950.23
  4. Step 4: Simplify right side
    513,670.33x = 209,770,393,117.68
  5. Step 5: Solve for x
    x = 209,770,393,117.68/513,670.33
  6. Step 6: Final answer
    x = 408,375.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.