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Finding the Fourth Proportional to 298,743.84, 412,261.44 and 162,779.36

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Solution

The fourth proportional to 298,743.84, 412,261.44 and 162,779.36 is: 224,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,743.84 : 412,261.44 = 162,779.36 : x
  2. Step 2: Convert to fraction form
    298,743.84/412,261.44 = 162,779.36/x
  3. Step 3: Cross multiply
    298,743.84x = 412,261.44 × 162,779.36
  4. Step 4: Simplify right side
    298,743.84x = 67,107,653,355.88
  5. Step 5: Solve for x
    x = 67,107,653,355.88/298,743.84
  6. Step 6: Final answer
    x = 224,632.76

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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.