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Finding the Fourth Proportional to 471,212.46, 650,280.96 and 256,352.67

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Solution

The fourth proportional to 471,212.46, 650,280.96 and 256,352.67 is: 353,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,212.46 : 650,280.96 = 256,352.67 : x
  2. Step 2: Convert to fraction form
    471,212.46/650,280.96 = 256,352.67/x
  3. Step 3: Cross multiply
    471,212.46x = 650,280.96 × 256,352.67
  4. Step 4: Simplify right side
    471,212.46x = 166,701,260,346.16
  5. Step 5: Solve for x
    x = 166,701,260,346.16/471,212.46
  6. Step 6: Final answer
    x = 353,770.91

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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.