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Finding the Fourth Proportional to 447,102.40, 670,653.60 and 305,384.80

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Solution

The fourth proportional to 447,102.40, 670,653.60 and 305,384.80 is: 458,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,102.40 : 670,653.60 = 305,384.80 : x
  2. Step 2: Convert to fraction form
    447,102.40/670,653.60 = 305,384.80/x
  3. Step 3: Cross multiply
    447,102.40x = 670,653.60 × 305,384.80
  4. Step 4: Simplify right side
    447,102.40x = 204,807,415,505.28
  5. Step 5: Solve for x
    x = 204,807,415,505.28/447,102.40
  6. Step 6: Final answer
    x = 458,077.20

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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.