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Finding the Fourth Proportional to 307,523.40, 461,285.10 and 188,809.80

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Solution

The fourth proportional to 307,523.40, 461,285.10 and 188,809.80 is: 283,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,523.40 : 461,285.10 = 188,809.80 : x
  2. Step 2: Convert to fraction form
    307,523.40/461,285.10 = 188,809.80/x
  3. Step 3: Cross multiply
    307,523.40x = 461,285.10 × 188,809.80
  4. Step 4: Simplify right side
    307,523.40x = 87,095,147,473.98
  5. Step 5: Solve for x
    x = 87,095,147,473.98/307,523.40
  6. Step 6: Final answer
    x = 283,214.70

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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.