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Finding the Fourth Proportional to 494,232, 682,050.64 and 279,359.24

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Solution

The fourth proportional to 494,232, 682,050.64 and 279,359.24 is: 385,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,232 : 682,050.64 = 279,359.24 : x
  2. Step 2: Convert to fraction form
    494,232/682,050.64 = 279,359.24/x
  3. Step 3: Cross multiply
    494,232x = 682,050.64 × 279,359.24
  4. Step 4: Simplify right side
    494,232x = 190,537,148,431.91
  5. Step 5: Solve for x
    x = 190,537,148,431.91/494,232
  6. Step 6: Final answer
    x = 385,521.67

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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.