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Finding the Fourth Proportional to 298,409.34, 447,618.75 and 166,130.37

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Solution

The fourth proportional to 298,409.34, 447,618.75 and 166,130.37 is: 249,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,409.34 : 447,618.75 = 166,130.37 : x
  2. Step 2: Convert to fraction form
    298,409.34/447,618.75 = 166,130.37/x
  3. Step 3: Cross multiply
    298,409.34x = 447,618.75 × 166,130.37
  4. Step 4: Simplify right side
    298,409.34x = 74,363,068,556.44
  5. Step 5: Solve for x
    x = 74,363,068,556.44/298,409.34
  6. Step 6: Final answer
    x = 249,198.19

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Why These Related Problems?

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