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Finding the Fourth Proportional to 734,725.27, 1,013,843.01 and 412,470.82

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Solution

The fourth proportional to 734,725.27, 1,013,843.01 and 412,470.82 is: 569,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,725.27 : 1,013,843.01 = 412,470.82 : x
  2. Step 2: Convert to fraction form
    734,725.27/1,013,843.01 = 412,470.82/x
  3. Step 3: Cross multiply
    734,725.27x = 1,013,843.01 × 412,470.82
  4. Step 4: Simplify right side
    734,725.27x = 418,180,657,685.97
  5. Step 5: Solve for x
    x = 418,180,657,685.97/734,725.27
  6. Step 6: Final answer
    x = 569,166.02

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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.