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Finding the Fourth Proportional to 594,709.70, 820,678.51 and 322,772.12

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Solution

The fourth proportional to 594,709.70, 820,678.51 and 322,772.12 is: 445,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,709.70 : 820,678.51 = 322,772.12 : x
  2. Step 2: Convert to fraction form
    594,709.70/820,678.51 = 322,772.12/x
  3. Step 3: Cross multiply
    594,709.70x = 820,678.51 × 322,772.12
  4. Step 4: Simplify right side
    594,709.70x = 264,892,136,793.89
  5. Step 5: Solve for x
    x = 264,892,136,793.89/594,709.70
  6. Step 6: Final answer
    x = 445,414.19

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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.