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Finding the Fourth Proportional to 403,665, 557,057.70 and 224,817

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Solution

The fourth proportional to 403,665, 557,057.70 and 224,817 is: 310,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,665 : 557,057.70 = 224,817 : x
  2. Step 2: Convert to fraction form
    403,665/557,057.70 = 224,817/x
  3. Step 3: Cross multiply
    403,665x = 557,057.70 × 224,817
  4. Step 4: Simplify right side
    403,665x = 125,236,040,940.90
  5. Step 5: Solve for x
    x = 125,236,040,940.90/403,665
  6. Step 6: Final answer
    x = 310,247.46

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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.