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Finding the Fourth Proportional to 596,809, 823,596.42 and 328,537

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Solution

The fourth proportional to 596,809, 823,596.42 and 328,537 is: 453,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,809 : 823,596.42 = 328,537 : x
  2. Step 2: Convert to fraction form
    596,809/823,596.42 = 328,537/x
  3. Step 3: Cross multiply
    596,809x = 823,596.42 × 328,537
  4. Step 4: Simplify right side
    596,809x = 270,581,897,037.54
  5. Step 5: Solve for x
    x = 270,581,897,037.54/596,809
  6. Step 6: Final answer
    x = 453,381.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.