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Finding the Fourth Proportional to 301,310.10, 451,964.88 and 114,321.60

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Solution

The fourth proportional to 301,310.10, 451,964.88 and 114,321.60 is: 171,482.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,310.10 : 451,964.88 = 114,321.60 : x
  2. Step 2: Convert to fraction form
    301,310.10/451,964.88 = 114,321.60/x
  3. Step 3: Cross multiply
    301,310.10x = 451,964.88 × 114,321.60
  4. Step 4: Simplify right side
    301,310.10x = 51,669,348,225.41
  5. Step 5: Solve for x
    x = 51,669,348,225.41/301,310.10
  6. Step 6: Final answer
    x = 171,482.30

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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.