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Finding the Fourth Proportional to 300,596, 414,822.60 and 166,460

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Solution

The fourth proportional to 300,596, 414,822.60 and 166,460 is: 229,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,596 : 414,822.60 = 166,460 : x
  2. Step 2: Convert to fraction form
    300,596/414,822.60 = 166,460/x
  3. Step 3: Cross multiply
    300,596x = 414,822.60 × 166,460
  4. Step 4: Simplify right side
    300,596x = 69,051,369,996
  5. Step 5: Solve for x
    x = 69,051,369,996/300,596
  6. Step 6: Final answer
    x = 229,714.87

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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.