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Finding the Fourth Proportional to 314,549.70, 434,090.87 and 178,596.30

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Solution

The fourth proportional to 314,549.70, 434,090.87 and 178,596.30 is: 246,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,549.70 : 434,090.87 = 178,596.30 : x
  2. Step 2: Convert to fraction form
    314,549.70/434,090.87 = 178,596.30/x
  3. Step 3: Cross multiply
    314,549.70x = 434,090.87 × 178,596.30
  4. Step 4: Simplify right side
    314,549.70x = 77,527,023,245.78
  5. Step 5: Solve for x
    x = 77,527,023,245.78/314,549.70
  6. Step 6: Final answer
    x = 246,469.87

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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.