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Finding the Fourth Proportional to 594,697.41, 820,690.29 and 322,768.55

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Solution

The fourth proportional to 594,697.41, 820,690.29 and 322,768.55 is: 445,424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,697.41 : 820,690.29 = 322,768.55 : x
  2. Step 2: Convert to fraction form
    594,697.41/820,690.29 = 322,768.55/x
  3. Step 3: Cross multiply
    594,697.41x = 820,690.29 × 322,768.55
  4. Step 4: Simplify right side
    594,697.41x = 264,893,016,954.11
  5. Step 5: Solve for x
    x = 264,893,016,954.11/594,697.41
  6. Step 6: Final answer
    x = 445,424.87

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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.