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Finding the Fourth Proportional to 347,039.67, 478,912.05 and 194,078.10

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Solution

The fourth proportional to 347,039.67, 478,912.05 and 194,078.10 is: 267,826.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,039.67 : 478,912.05 = 194,078.10 : x
  2. Step 2: Convert to fraction form
    347,039.67/478,912.05 = 194,078.10/x
  3. Step 3: Cross multiply
    347,039.67x = 478,912.05 × 194,078.10
  4. Step 4: Simplify right side
    347,039.67x = 92,946,340,731.11
  5. Step 5: Solve for x
    x = 92,946,340,731.11/347,039.67
  6. Step 6: Final answer
    x = 267,826.27

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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.