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Finding the Fourth Proportional to 729,549, 1,094,328.36 and 230,913

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Solution

The fourth proportional to 729,549, 1,094,328.36 and 230,913 is: 346,371.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,549 : 1,094,328.36 = 230,913 : x
  2. Step 2: Convert to fraction form
    729,549/1,094,328.36 = 230,913/x
  3. Step 3: Cross multiply
    729,549x = 1,094,328.36 × 230,913
  4. Step 4: Simplify right side
    729,549x = 252,694,644,592.68
  5. Step 5: Solve for x
    x = 252,694,644,592.68/729,549
  6. Step 6: Final answer
    x = 346,371.04

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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.