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Finding the Fourth Proportional to 300,664, 414,929.52 and 166,528

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Solution

The fourth proportional to 300,664, 414,929.52 and 166,528 is: 229,815.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,664 : 414,929.52 = 166,528 : x
  2. Step 2: Convert to fraction form
    300,664/414,929.52 = 166,528/x
  3. Step 3: Cross multiply
    300,664x = 414,929.52 × 166,528
  4. Step 4: Simplify right side
    300,664x = 69,097,383,106.56
  5. Step 5: Solve for x
    x = 69,097,383,106.56/300,664
  6. Step 6: Final answer
    x = 229,815.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.