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Finding the Fourth Proportional to 403,722.50, 557,137.06 and 224,874.50

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Solution

The fourth proportional to 403,722.50, 557,137.06 and 224,874.50 is: 310,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,722.50 : 557,137.06 = 224,874.50 : x
  2. Step 2: Convert to fraction form
    403,722.50/557,137.06 = 224,874.50/x
  3. Step 3: Cross multiply
    403,722.50x = 557,137.06 × 224,874.50
  4. Step 4: Simplify right side
    403,722.50x = 125,285,917,798.97
  5. Step 5: Solve for x
    x = 125,285,917,798.97/403,722.50
  6. Step 6: Final answer
    x = 310,326.82

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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.