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Finding the Fourth Proportional to 298,745.08, 412,263.02 and 162,780.14

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Solution

The fourth proportional to 298,745.08, 412,263.02 and 162,780.14 is: 224,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,745.08 : 412,263.02 = 162,780.14 : x
  2. Step 2: Convert to fraction form
    298,745.08/412,263.02 = 162,780.14/x
  3. Step 3: Cross multiply
    298,745.08x = 412,263.02 × 162,780.14
  4. Step 4: Simplify right side
    298,745.08x = 67,108,232,112.42
  5. Step 5: Solve for x
    x = 67,108,232,112.42/298,745.08
  6. Step 6: Final answer
    x = 224,633.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.