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Finding the Fourth Proportional to 298,308.48, 411,666.52 and 164,172.48

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Solution

The fourth proportional to 298,308.48, 411,666.52 and 164,172.48 is: 226,558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,308.48 : 411,666.52 = 164,172.48 : x
  2. Step 2: Convert to fraction form
    298,308.48/411,666.52 = 164,172.48/x
  3. Step 3: Cross multiply
    298,308.48x = 411,666.52 × 164,172.48
  4. Step 4: Simplify right side
    298,308.48x = 67,584,313,521.37
  5. Step 5: Solve for x
    x = 67,584,313,521.37/298,308.48
  6. Step 6: Final answer
    x = 226,558.47

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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.