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Finding the Fourth Proportional to 298,317.34, 411,696.30 and 171,012.07

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Solution

The fourth proportional to 298,317.34, 411,696.30 and 171,012.07 is: 236,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,317.34 : 411,696.30 = 171,012.07 : x
  2. Step 2: Convert to fraction form
    298,317.34/411,696.30 = 171,012.07/x
  3. Step 3: Cross multiply
    298,317.34x = 411,696.30 × 171,012.07
  4. Step 4: Simplify right side
    298,317.34x = 70,405,036,474.34
  5. Step 5: Solve for x
    x = 70,405,036,474.34/298,317.34
  6. Step 6: Final answer
    x = 236,007.19

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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.