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Finding the Fourth Proportional to 403,674.75, 557,071.17 and 224,826.75

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Solution

The fourth proportional to 403,674.75, 557,071.17 and 224,826.75 is: 310,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,674.75 : 557,071.17 = 224,826.75 : x
  2. Step 2: Convert to fraction form
    403,674.75/557,071.17 = 224,826.75/x
  3. Step 3: Cross multiply
    403,674.75x = 557,071.17 × 224,826.75
  4. Step 4: Simplify right side
    403,674.75x = 125,244,500,669.80
  5. Step 5: Solve for x
    x = 125,244,500,669.80/403,674.75
  6. Step 6: Final answer
    x = 310,260.92

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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.