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Finding the Fourth Proportional to 729,550, 1,094,329.86 and 230,914

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Solution

The fourth proportional to 729,550, 1,094,329.86 and 230,914 is: 346,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,550 : 1,094,329.86 = 230,914 : x
  2. Step 2: Convert to fraction form
    729,550/1,094,329.86 = 230,914/x
  3. Step 3: Cross multiply
    729,550x = 1,094,329.86 × 230,914
  4. Step 4: Simplify right side
    729,550x = 252,696,085,292.04
  5. Step 5: Solve for x
    x = 252,696,085,292.04/729,550
  6. Step 6: Final answer
    x = 346,372.54

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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.