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Finding the Fourth Proportional to 307,613.32, 461,523.88 and 193,846.80

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Solution

The fourth proportional to 307,613.32, 461,523.88 and 193,846.80 is: 290,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,613.32 : 461,523.88 = 193,846.80 : x
  2. Step 2: Convert to fraction form
    307,613.32/461,523.88 = 193,846.80/x
  3. Step 3: Cross multiply
    307,613.32x = 461,523.88 × 193,846.80
  4. Step 4: Simplify right side
    307,613.32x = 89,464,927,261.58
  5. Step 5: Solve for x
    x = 89,464,927,261.58/307,613.32
  6. Step 6: Final answer
    x = 290,835.67

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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.