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Finding the Fourth Proportional to 403,813, 557,273.46 and 224,976.52

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Solution

The fourth proportional to 403,813, 557,273.46 and 224,976.52 is: 310,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,813 : 557,273.46 = 224,976.52 : x
  2. Step 2: Convert to fraction form
    403,813/557,273.46 = 224,976.52/x
  3. Step 3: Cross multiply
    403,813x = 557,273.46 × 224,976.52
  4. Step 4: Simplify right side
    403,813x = 125,373,443,719.16
  5. Step 5: Solve for x
    x = 125,373,443,719.16/403,813
  6. Step 6: Final answer
    x = 310,474.02

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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.