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Finding the Fourth Proportional to 298,574.46, 447,541.94 and 148,491.58

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Solution

The fourth proportional to 298,574.46, 447,541.94 and 148,491.58 is: 222,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,574.46 : 447,541.94 = 148,491.58 : x
  2. Step 2: Convert to fraction form
    298,574.46/447,541.94 = 148,491.58/x
  3. Step 3: Cross multiply
    298,574.46x = 447,541.94 × 148,491.58
  4. Step 4: Simplify right side
    298,574.46x = 66,456,209,786.87
  5. Step 5: Solve for x
    x = 66,456,209,786.87/298,574.46
  6. Step 6: Final answer
    x = 222,578.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.