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Finding the Fourth Proportional to 307,914.40, 461,871.60 and 189,200.80

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Solution

The fourth proportional to 307,914.40, 461,871.60 and 189,200.80 is: 283,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,914.40 : 461,871.60 = 189,200.80 : x
  2. Step 2: Convert to fraction form
    307,914.40/461,871.60 = 189,200.80/x
  3. Step 3: Cross multiply
    307,914.40x = 461,871.60 × 189,200.80
  4. Step 4: Simplify right side
    307,914.40x = 87,386,476,217.28
  5. Step 5: Solve for x
    x = 87,386,476,217.28/307,914.40
  6. Step 6: Final answer
    x = 283,801.20

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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.