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Finding the Fourth Proportional to 431,386.23, 596,389.17 and 323,769.43

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Solution

The fourth proportional to 431,386.23, 596,389.17 and 323,769.43 is: 447,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,386.23 : 596,389.17 = 323,769.43 : x
  2. Step 2: Convert to fraction form
    431,386.23/596,389.17 = 323,769.43/x
  3. Step 3: Cross multiply
    431,386.23x = 596,389.17 × 323,769.43
  4. Step 4: Simplify right side
    431,386.23x = 193,092,579,634.85
  5. Step 5: Solve for x
    x = 193,092,579,634.85/431,386.23
  6. Step 6: Final answer
    x = 447,609.51

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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.