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Finding the Fourth Proportional to 595,821.83, 822,033.99 and 337,678.52

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Solution

The fourth proportional to 595,821.83, 822,033.99 and 337,678.52 is: 465,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,821.83 : 822,033.99 = 337,678.52 : x
  2. Step 2: Convert to fraction form
    595,821.83/822,033.99 = 337,678.52/x
  3. Step 3: Cross multiply
    595,821.83x = 822,033.99 × 337,678.52
  4. Step 4: Simplify right side
    595,821.83x = 277,583,217,022.73
  5. Step 5: Solve for x
    x = 277,583,217,022.73/595,821.83
  6. Step 6: Final answer
    x = 465,882.93

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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.