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Finding the Fourth Proportional to 446,954.27, 670,452.06 and 147,461.01

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Solution

The fourth proportional to 446,954.27, 670,452.06 and 147,461.01 is: 221,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,954.27 : 670,452.06 = 147,461.01 : x
  2. Step 2: Convert to fraction form
    446,954.27/670,452.06 = 147,461.01/x
  3. Step 3: Cross multiply
    446,954.27x = 670,452.06 × 147,461.01
  4. Step 4: Simplify right side
    446,954.27x = 98,865,537,924.18
  5. Step 5: Solve for x
    x = 98,865,537,924.18/446,954.27
  6. Step 6: Final answer
    x = 221,198.33

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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.