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Finding the Fourth Proportional to 569,732.44, 786,198.70 and 311,558.12

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Solution

The fourth proportional to 569,732.44, 786,198.70 and 311,558.12 is: 429,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,732.44 : 786,198.70 = 311,558.12 : x
  2. Step 2: Convert to fraction form
    569,732.44/786,198.70 = 311,558.12/x
  3. Step 3: Cross multiply
    569,732.44x = 786,198.70 × 311,558.12
  4. Step 4: Simplify right side
    569,732.44x = 244,946,588,918.44
  5. Step 5: Solve for x
    x = 244,946,588,918.44/569,732.44
  6. Step 6: Final answer
    x = 429,932.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.