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Finding the Fourth Proportional to 299,984.30, 449,976.45 and 78,368.30

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Solution

The fourth proportional to 299,984.30, 449,976.45 and 78,368.30 is: 117,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,984.30 : 449,976.45 = 78,368.30 : x
  2. Step 2: Convert to fraction form
    299,984.30/449,976.45 = 78,368.30/x
  3. Step 3: Cross multiply
    299,984.30x = 449,976.45 × 78,368.30
  4. Step 4: Simplify right side
    299,984.30x = 35,263,889,426.54
  5. Step 5: Solve for x
    x = 35,263,889,426.54/299,984.30
  6. Step 6: Final answer
    x = 117,552.45

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1.5x scale

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.