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Finding the Fourth Proportional to 446,996.28, 670,534.92 and 147,477.72

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Solution

The fourth proportional to 446,996.28, 670,534.92 and 147,477.72 is: 221,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,996.28 : 670,534.92 = 147,477.72 : x
  2. Step 2: Convert to fraction form
    446,996.28/670,534.92 = 147,477.72/x
  3. Step 3: Cross multiply
    446,996.28x = 670,534.92 × 147,477.72
  4. Step 4: Simplify right side
    446,996.28x = 98,888,961,181.98
  5. Step 5: Solve for x
    x = 98,888,961,181.98/446,996.28
  6. Step 6: Final answer
    x = 221,229.94

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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.