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Finding the Fourth Proportional to 298,977.96, 412,592.81 and 163,010.81

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Solution

The fourth proportional to 298,977.96, 412,592.81 and 163,010.81 is: 224,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,977.96 : 412,592.81 = 163,010.81 : x
  2. Step 2: Convert to fraction form
    298,977.96/412,592.81 = 163,010.81/x
  3. Step 3: Cross multiply
    298,977.96x = 412,592.81 × 163,010.81
  4. Step 4: Simplify right side
    298,977.96x = 67,257,085,280.26
  5. Step 5: Solve for x
    x = 67,257,085,280.26/298,977.96
  6. Step 6: Final answer
    x = 224,956.67

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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.