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Finding the Fourth Proportional to 596,133.82, 822,647.05 and 338,034.33

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Solution

The fourth proportional to 596,133.82, 822,647.05 and 338,034.33 is: 466,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,133.82 : 822,647.05 = 338,034.33 : x
  2. Step 2: Convert to fraction form
    596,133.82/822,647.05 = 338,034.33/x
  3. Step 3: Cross multiply
    596,133.82x = 822,647.05 × 338,034.33
  4. Step 4: Simplify right side
    596,133.82x = 278,082,945,429.58
  5. Step 5: Solve for x
    x = 278,082,945,429.58/596,133.82
  6. Step 6: Final answer
    x = 466,477.38

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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.