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Finding the Fourth Proportional to 446,764.64, 670,195.96 and 193,871.30

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Solution

The fourth proportional to 446,764.64, 670,195.96 and 193,871.30 is: 290,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,764.64 : 670,195.96 = 193,871.30 : x
  2. Step 2: Convert to fraction form
    446,764.64/670,195.96 = 193,871.30/x
  3. Step 3: Cross multiply
    446,764.64x = 670,195.96 × 193,871.30
  4. Step 4: Simplify right side
    446,764.64x = 129,931,758,184.29
  5. Step 5: Solve for x
    x = 129,931,758,184.29/446,764.64
  6. Step 6: Final answer
    x = 290,828.21

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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.