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Finding the Fourth Proportional to 578,296, 798,048.38 and 323,647.19

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Solution

The fourth proportional to 578,296, 798,048.38 and 323,647.19 is: 446,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,296 : 798,048.38 = 323,647.19 : x
  2. Step 2: Convert to fraction form
    578,296/798,048.38 = 323,647.19/x
  3. Step 3: Cross multiply
    578,296x = 798,048.38 × 323,647.19
  4. Step 4: Simplify right side
    578,296x = 258,286,115,671.05
  5. Step 5: Solve for x
    x = 258,286,115,671.05/578,296
  6. Step 6: Final answer
    x = 446,633.07

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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.