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Finding the Fourth Proportional to 298,287.39, 411,636.66 and 164,151.39

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Solution

The fourth proportional to 298,287.39, 411,636.66 and 164,151.39 is: 226,528.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,287.39 : 411,636.66 = 164,151.39 : x
  2. Step 2: Convert to fraction form
    298,287.39/411,636.66 = 164,151.39/x
  3. Step 3: Cross multiply
    298,287.39x = 411,636.66 × 164,151.39
  4. Step 4: Simplify right side
    298,287.39x = 67,570,729,913.96
  5. Step 5: Solve for x
    x = 67,570,729,913.96/298,287.39
  6. Step 6: Final answer
    x = 226,528.95

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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.