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Finding the Fourth Proportional to 729,648, 1,094,091.84 and 329,944.32

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Solution

The fourth proportional to 729,648, 1,094,091.84 and 329,944.32 is: 494,744.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,648 : 1,094,091.84 = 329,944.32 : x
  2. Step 2: Convert to fraction form
    729,648/1,094,091.84 = 329,944.32/x
  3. Step 3: Cross multiply
    729,648x = 1,094,091.84 × 329,944.32
  4. Step 4: Simplify right side
    729,648x = 360,989,388,166.35
  5. Step 5: Solve for x
    x = 360,989,388,166.35/729,648
  6. Step 6: Final answer
    x = 494,744.57

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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.