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Finding the Fourth Proportional to 594,665.10, 820,638.41 and 322,733.05

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Solution

The fourth proportional to 594,665.10, 820,638.41 and 322,733.05 is: 445,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,665.10 : 820,638.41 = 322,733.05 : x
  2. Step 2: Convert to fraction form
    594,665.10/820,638.41 = 322,733.05/x
  3. Step 3: Cross multiply
    594,665.10x = 820,638.41 × 322,733.05
  4. Step 4: Simplify right side
    594,665.10x = 264,847,133,341.19
  5. Step 5: Solve for x
    x = 264,847,133,341.19/594,665.10
  6. Step 6: Final answer
    x = 445,371.91

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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.