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Finding the Fourth Proportional to 347,769.20, 522,820.20 and 296,447.60

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Solution

The fourth proportional to 347,769.20, 522,820.20 and 296,447.60 is: 445,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,769.20 : 522,820.20 = 296,447.60 : x
  2. Step 2: Convert to fraction form
    347,769.20/522,820.20 = 296,447.60/x
  3. Step 3: Cross multiply
    347,769.20x = 522,820.20 × 296,447.60
  4. Step 4: Simplify right side
    347,769.20x = 154,988,793,521.52
  5. Step 5: Solve for x
    x = 154,988,793,521.52/347,769.20
  6. Step 6: Final answer
    x = 445,665.67

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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.