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Finding the Fourth Proportional to 298,806.30, 412,347.25 and 162,841.42

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Solution

The fourth proportional to 298,806.30, 412,347.25 and 162,841.42 is: 224,718.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,806.30 : 412,347.25 = 162,841.42 : x
  2. Step 2: Convert to fraction form
    298,806.30/412,347.25 = 162,841.42/x
  3. Step 3: Cross multiply
    298,806.30x = 412,347.25 × 162,841.42
  4. Step 4: Simplify right side
    298,806.30x = 67,147,211,723.10
  5. Step 5: Solve for x
    x = 67,147,211,723.10/298,806.30
  6. Step 6: Final answer
    x = 224,718.19

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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.