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Finding the Fourth Proportional to 446,729.60, 670,213.20 and 193,901.60

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Solution

The fourth proportional to 446,729.60, 670,213.20 and 193,901.60 is: 290,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,729.60 : 670,213.20 = 193,901.60 : x
  2. Step 2: Convert to fraction form
    446,729.60/670,213.20 = 193,901.60/x
  3. Step 3: Cross multiply
    446,729.60x = 670,213.20 × 193,901.60
  4. Step 4: Simplify right side
    446,729.60x = 129,955,411,821.12
  5. Step 5: Solve for x
    x = 129,955,411,821.12/446,729.60
  6. Step 6: Final answer
    x = 290,903.96

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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.