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Finding the Fourth Proportional to 298,768.98, 412,295.88 and 162,803.88

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Solution

The fourth proportional to 298,768.98, 412,295.88 and 162,803.88 is: 224,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,768.98 : 412,295.88 = 162,803.88 : x
  2. Step 2: Convert to fraction form
    298,768.98/412,295.88 = 162,803.88/x
  3. Step 3: Cross multiply
    298,768.98x = 412,295.88 × 162,803.88
  4. Step 4: Simplify right side
    298,768.98x = 67,123,368,972.01
  5. Step 5: Solve for x
    x = 67,123,368,972.01/298,768.98
  6. Step 6: Final answer
    x = 224,666.46

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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.