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Finding the Fourth Proportional to 471,614.82, 650,840.15 and 256,766.67

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Solution

The fourth proportional to 471,614.82, 650,840.15 and 256,766.67 is: 354,344.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,614.82 : 650,840.15 = 256,766.67 : x
  2. Step 2: Convert to fraction form
    471,614.82/650,840.15 = 256,766.67/x
  3. Step 3: Cross multiply
    471,614.82x = 650,840.15 × 256,766.67
  4. Step 4: Simplify right side
    471,614.82x = 167,114,059,213.89
  5. Step 5: Solve for x
    x = 167,114,059,213.89/471,614.82
  6. Step 6: Final answer
    x = 354,344.38

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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.