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Finding the Fourth Proportional to 578,380.94, 798,165.42 and 323,732.06

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Solution

The fourth proportional to 578,380.94, 798,165.42 and 323,732.06 is: 446,750.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,380.94 : 798,165.42 = 323,732.06 : x
  2. Step 2: Convert to fraction form
    578,380.94/798,165.42 = 323,732.06/x
  3. Step 3: Cross multiply
    578,380.94x = 798,165.42 × 323,732.06
  4. Step 4: Simplify right side
    578,380.94x = 258,391,735,637.37
  5. Step 5: Solve for x
    x = 258,391,735,637.37/578,380.94
  6. Step 6: Final answer
    x = 446,750.09

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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.