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Finding the Fourth Proportional to 594,768.32, 820,777.34 and 322,834.01

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Solution

The fourth proportional to 594,768.32, 820,777.34 and 322,834.01 is: 445,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,768.32 : 820,777.34 = 322,834.01 : x
  2. Step 2: Convert to fraction form
    594,768.32/820,777.34 = 322,834.01/x
  3. Step 3: Cross multiply
    594,768.32x = 820,777.34 × 322,834.01
  4. Step 4: Simplify right side
    594,768.32x = 264,974,836,238.55
  5. Step 5: Solve for x
    x = 264,974,836,238.55/594,768.32
  6. Step 6: Final answer
    x = 445,509.33

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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.