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Finding the Fourth Proportional to 594,709.46, 820,699.82 and 322,777.32

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Solution

The fourth proportional to 594,709.46, 820,699.82 and 322,777.32 is: 445,433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,709.46 : 820,699.82 = 322,777.32 : x
  2. Step 2: Convert to fraction form
    594,709.46/820,699.82 = 322,777.32/x
  3. Step 3: Cross multiply
    594,709.46x = 820,699.82 × 322,777.32
  4. Step 4: Simplify right side
    594,709.46x = 264,903,290,467.23
  5. Step 5: Solve for x
    x = 264,903,290,467.23/594,709.46
  6. Step 6: Final answer
    x = 445,433.12

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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.