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Finding the Fourth Proportional to 596,266.56, 822,843.84 and 338,192.64

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Solution

The fourth proportional to 596,266.56, 822,843.84 and 338,192.64 is: 466,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,266.56 : 822,843.84 = 338,192.64 : x
  2. Step 2: Convert to fraction form
    596,266.56/822,843.84 = 338,192.64/x
  3. Step 3: Cross multiply
    596,266.56x = 822,843.84 × 338,192.64
  4. Step 4: Simplify right side
    596,266.56x = 278,279,730,557.34
  5. Step 5: Solve for x
    x = 278,279,730,557.34/596,266.56
  6. Step 6: Final answer
    x = 466,703.57

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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.