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Finding the Fourth Proportional to 314,469.80, 471,683.10 and 101,234.60

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Solution

The fourth proportional to 314,469.80, 471,683.10 and 101,234.60 is: 151,844.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,469.80 : 471,683.10 = 101,234.60 : x
  2. Step 2: Convert to fraction form
    314,469.80/471,683.10 = 101,234.60/x
  3. Step 3: Cross multiply
    314,469.80x = 471,683.10 × 101,234.60
  4. Step 4: Simplify right side
    314,469.80x = 47,750,649,955.26
  5. Step 5: Solve for x
    x = 47,750,649,955.26/314,469.80
  6. Step 6: Final answer
    x = 151,844.95

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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.