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Finding the Fourth Proportional to 397,314, 595,384.78 and 235,040.22

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Solution

The fourth proportional to 397,314, 595,384.78 and 235,040.22 is: 352,213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,314 : 595,384.78 = 235,040.22 : x
  2. Step 2: Convert to fraction form
    397,314/595,384.78 = 235,040.22/x
  3. Step 3: Cross multiply
    397,314x = 595,384.78 × 235,040.22
  4. Step 4: Simplify right side
    397,314x = 139,939,369,675.85
  5. Step 5: Solve for x
    x = 139,939,369,675.85/397,314
  6. Step 6: Final answer
    x = 352,213.54

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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.