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Finding the Fourth Proportional to 394,271.10, 591,082.65 and 169,803.90

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Solution

The fourth proportional to 394,271.10, 591,082.65 and 169,803.90 is: 254,566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,271.10 : 591,082.65 = 169,803.90 : x
  2. Step 2: Convert to fraction form
    394,271.10/591,082.65 = 169,803.90/x
  3. Step 3: Cross multiply
    394,271.10x = 591,082.65 × 169,803.90
  4. Step 4: Simplify right side
    394,271.10x = 100,368,139,192.34
  5. Step 5: Solve for x
    x = 100,368,139,192.34/394,271.10
  6. Step 6: Final answer
    x = 254,566.31

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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.