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Finding the Fourth Proportional to 298,405.52, 411,818.30 and 164,269.52

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Solution

The fourth proportional to 298,405.52, 411,818.30 and 164,269.52 is: 226,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,405.52 : 411,818.30 = 164,269.52 : x
  2. Step 2: Convert to fraction form
    298,405.52/411,818.30 = 164,269.52/x
  3. Step 3: Cross multiply
    298,405.52x = 411,818.30 × 164,269.52
  4. Step 4: Simplify right side
    298,405.52x = 67,649,194,468.22
  5. Step 5: Solve for x
    x = 67,649,194,468.22/298,405.52
  6. Step 6: Final answer
    x = 226,702.22

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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.