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Finding the Fourth Proportional to 403,661, 557,069.46 and 224,813

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Solution

The fourth proportional to 403,661, 557,069.46 and 224,813 is: 310,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,661 : 557,069.46 = 224,813 : x
  2. Step 2: Convert to fraction form
    403,661/557,069.46 = 224,813/x
  3. Step 3: Cross multiply
    403,661x = 557,069.46 × 224,813
  4. Step 4: Simplify right side
    403,661x = 125,236,456,510.98
  5. Step 5: Solve for x
    x = 125,236,456,510.98/403,661
  6. Step 6: Final answer
    x = 310,251.56

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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.