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Finding the Fourth Proportional to 347,041.89, 478,914.44 and 194,078.34

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Solution

The fourth proportional to 347,041.89, 478,914.44 and 194,078.34 is: 267,826.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,041.89 : 478,914.44 = 194,078.34 : x
  2. Step 2: Convert to fraction form
    347,041.89/478,914.44 = 194,078.34/x
  3. Step 3: Cross multiply
    347,041.89x = 478,914.44 × 194,078.34
  4. Step 4: Simplify right side
    347,041.89x = 92,946,918,546.84
  5. Step 5: Solve for x
    x = 92,946,918,546.84/347,041.89
  6. Step 6: Final answer
    x = 267,826.22

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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.