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Finding the Fourth Proportional to 298,596, 412,062.48 and 164,460

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Solution

The fourth proportional to 298,596, 412,062.48 and 164,460 is: 226,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,596 : 412,062.48 = 164,460 : x
  2. Step 2: Convert to fraction form
    298,596/412,062.48 = 164,460/x
  3. Step 3: Cross multiply
    298,596x = 412,062.48 × 164,460
  4. Step 4: Simplify right side
    298,596x = 67,767,795,460.80
  5. Step 5: Solve for x
    x = 67,767,795,460.80/298,596
  6. Step 6: Final answer
    x = 226,954.80

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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.