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Finding the Fourth Proportional to 588,021.68, 811,614.12 and 333,521.84

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Solution

The fourth proportional to 588,021.68, 811,614.12 and 333,521.84 is: 460,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,021.68 : 811,614.12 = 333,521.84 : x
  2. Step 2: Convert to fraction form
    588,021.68/811,614.12 = 333,521.84/x
  3. Step 3: Cross multiply
    588,021.68x = 811,614.12 × 333,521.84
  4. Step 4: Simplify right side
    588,021.68x = 270,691,034,672.38
  5. Step 5: Solve for x
    x = 270,691,034,672.38/588,021.68
  6. Step 6: Final answer
    x = 460,341.93

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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.