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Finding the Fourth Proportional to 534,493.92, 737,396.32 and 305,064

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Solution

The fourth proportional to 534,493.92, 737,396.32 and 305,064 is: 420,871.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,493.92 : 737,396.32 = 305,064 : x
  2. Step 2: Convert to fraction form
    534,493.92/737,396.32 = 305,064/x
  3. Step 3: Cross multiply
    534,493.92x = 737,396.32 × 305,064
  4. Step 4: Simplify right side
    534,493.92x = 224,953,070,964.48
  5. Step 5: Solve for x
    x = 224,953,070,964.48/534,493.92
  6. Step 6: Final answer
    x = 420,871.15

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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.