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Finding the Fourth Proportional to 589,575.14, 813,514.26 and 331,418

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Solution

The fourth proportional to 589,575.14, 813,514.26 and 331,418 is: 457,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,575.14 : 813,514.26 = 331,418 : x
  2. Step 2: Convert to fraction form
    589,575.14/813,514.26 = 331,418/x
  3. Step 3: Cross multiply
    589,575.14x = 813,514.26 × 331,418
  4. Step 4: Simplify right side
    589,575.14x = 269,613,269,020.68
  5. Step 5: Solve for x
    x = 269,613,269,020.68/589,575.14
  6. Step 6: Final answer
    x = 457,300.95

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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.