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Finding the Fourth Proportional to 298,838.08, 412,395.60 and 164,702.08

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Solution

The fourth proportional to 298,838.08, 412,395.60 and 164,702.08 is: 227,288.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,838.08 : 412,395.60 = 164,702.08 : x
  2. Step 2: Convert to fraction form
    298,838.08/412,395.60 = 164,702.08/x
  3. Step 3: Cross multiply
    298,838.08x = 412,395.60 × 164,702.08
  4. Step 4: Simplify right side
    298,838.08x = 67,922,413,102.85
  5. Step 5: Solve for x
    x = 67,922,413,102.85/298,838.08
  6. Step 6: Final answer
    x = 227,288.35

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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.