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Finding the Fourth Proportional to 307,523.20, 461,284.80 and 188,809.60

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Solution

The fourth proportional to 307,523.20, 461,284.80 and 188,809.60 is: 283,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,523.20 : 461,284.80 = 188,809.60 : x
  2. Step 2: Convert to fraction form
    307,523.20/461,284.80 = 188,809.60/x
  3. Step 3: Cross multiply
    307,523.20x = 461,284.80 × 188,809.60
  4. Step 4: Simplify right side
    307,523.20x = 87,094,998,574.08
  5. Step 5: Solve for x
    x = 87,094,998,574.08/307,523.20
  6. Step 6: Final answer
    x = 283,214.40

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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.