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Finding the Fourth Proportional to 307,768.40, 461,652.60 and 189,054.80

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Solution

The fourth proportional to 307,768.40, 461,652.60 and 189,054.80 is: 283,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,768.40 : 461,652.60 = 189,054.80 : x
  2. Step 2: Convert to fraction form
    307,768.40/461,652.60 = 189,054.80/x
  3. Step 3: Cross multiply
    307,768.40x = 461,652.60 × 189,054.80
  4. Step 4: Simplify right side
    307,768.40x = 87,277,639,962.48
  5. Step 5: Solve for x
    x = 87,277,639,962.48/307,768.40
  6. Step 6: Final answer
    x = 283,582.20

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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.