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Finding the Fourth Proportional to 594,742.30, 820,722.38 and 322,804.34

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Solution

The fourth proportional to 594,742.30, 820,722.38 and 322,804.34 is: 445,458.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,742.30 : 820,722.38 = 322,804.34 : x
  2. Step 2: Convert to fraction form
    594,742.30/820,722.38 = 322,804.34/x
  3. Step 3: Cross multiply
    594,742.30x = 820,722.38 × 322,804.34
  4. Step 4: Simplify right side
    594,742.30x = 264,932,743,559.21
  5. Step 5: Solve for x
    x = 264,932,743,559.21/594,742.30
  6. Step 6: Final answer
    x = 445,458.05

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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.