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Finding the Fourth Proportional to 588,211.74, 811,732.13 and 333,562.93

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Solution

The fourth proportional to 588,211.74, 811,732.13 and 333,562.93 is: 460,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,211.74 : 811,732.13 = 333,562.93 : x
  2. Step 2: Convert to fraction form
    588,211.74/811,732.13 = 333,562.93/x
  3. Step 3: Cross multiply
    588,211.74x = 811,732.13 × 333,562.93
  4. Step 4: Simplify right side
    588,211.74x = 270,763,747,087.95
  5. Step 5: Solve for x
    x = 270,763,747,087.95/588,211.74
  6. Step 6: Final answer
    x = 460,316.80

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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.