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Finding the Fourth Proportional to 298,388.25, 411,775.80 and 164,252.25

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Solution

The fourth proportional to 298,388.25, 411,775.80 and 164,252.25 is: 226,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,388.25 : 411,775.80 = 164,252.25 : x
  2. Step 2: Convert to fraction form
    298,388.25/411,775.80 = 164,252.25/x
  3. Step 3: Cross multiply
    298,388.25x = 411,775.80 × 164,252.25
  4. Step 4: Simplify right side
    298,388.25x = 67,635,101,645.55
  5. Step 5: Solve for x
    x = 67,635,101,645.55/298,388.25
  6. Step 6: Final answer
    x = 226,668.11

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1.5x scale

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.