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Finding the Fourth Proportional to 362,706.94, 543,849.36 and 266,701.57

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Solution

The fourth proportional to 362,706.94, 543,849.36 and 266,701.57 is: 399,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,706.94 : 543,849.36 = 266,701.57 : x
  2. Step 2: Convert to fraction form
    362,706.94/543,849.36 = 266,701.57/x
  3. Step 3: Cross multiply
    362,706.94x = 543,849.36 × 266,701.57
  4. Step 4: Simplify right side
    362,706.94x = 145,045,481,448.04
  5. Step 5: Solve for x
    x = 145,045,481,448.04/362,706.94
  6. Step 6: Final answer
    x = 399,897.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.