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Finding the Fourth Proportional to 298,861.42, 412,429.08 and 162,895.48

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Solution

The fourth proportional to 298,861.42, 412,429.08 and 162,895.48 is: 224,795.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,861.42 : 412,429.08 = 162,895.48 : x
  2. Step 2: Convert to fraction form
    298,861.42/412,429.08 = 162,895.48/x
  3. Step 3: Cross multiply
    298,861.42x = 412,429.08 × 162,895.48
  4. Step 4: Simplify right side
    298,861.42x = 67,182,832,952.56
  5. Step 5: Solve for x
    x = 67,182,832,952.56/298,861.42
  6. Step 6: Final answer
    x = 224,795.94

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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.