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Finding the Fourth Proportional to 333,476.49, 459,227.17 and 289,849.49

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Solution

The fourth proportional to 333,476.49, 459,227.17 and 289,849.49 is: 399,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,476.49 : 459,227.17 = 289,849.49 : x
  2. Step 2: Convert to fraction form
    333,476.49/459,227.17 = 289,849.49/x
  3. Step 3: Cross multiply
    333,476.49x = 459,227.17 × 289,849.49
  4. Step 4: Simplify right side
    333,476.49x = 133,106,760,806.92
  5. Step 5: Solve for x
    x = 133,106,760,806.92/333,476.49
  6. Step 6: Final answer
    x = 399,148.86

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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.