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Finding the Fourth Proportional to 298,866.82, 412,436.52 and 162,900.88

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Solution

The fourth proportional to 298,866.82, 412,436.52 and 162,900.88 is: 224,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,866.82 : 412,436.52 = 162,900.88 : x
  2. Step 2: Convert to fraction form
    298,866.82/412,436.52 = 162,900.88/x
  3. Step 3: Cross multiply
    298,866.82x = 412,436.52 × 162,900.88
  4. Step 4: Simplify right side
    298,866.82x = 67,186,272,052.14
  5. Step 5: Solve for x
    x = 67,186,272,052.14/298,866.82
  6. Step 6: Final answer
    x = 224,803.38

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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.