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Finding the Fourth Proportional to 594,629.92, 820,591.50 and 322,697.80

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Solution

The fourth proportional to 594,629.92, 820,591.50 and 322,697.80 is: 445,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,629.92 : 820,591.50 = 322,697.80 : x
  2. Step 2: Convert to fraction form
    594,629.92/820,591.50 = 322,697.80/x
  3. Step 3: Cross multiply
    594,629.92x = 820,591.50 × 322,697.80
  4. Step 4: Simplify right side
    594,629.92x = 264,803,071,748.70
  5. Step 5: Solve for x
    x = 264,803,071,748.70/594,629.92
  6. Step 6: Final answer
    x = 445,324.16

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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.