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Finding the Fourth Proportional to 534,126.44, 737,594.12 and 343,471.08

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Solution

The fourth proportional to 534,126.44, 737,594.12 and 343,471.08 is: 474,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,126.44 : 737,594.12 = 343,471.08 : x
  2. Step 2: Convert to fraction form
    534,126.44/737,594.12 = 343,471.08/x
  3. Step 3: Cross multiply
    534,126.44x = 737,594.12 × 343,471.08
  4. Step 4: Simplify right side
    534,126.44x = 253,342,248,998.05
  5. Step 5: Solve for x
    x = 253,342,248,998.05/534,126.44
  6. Step 6: Final answer
    x = 474,311.38

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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.