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Finding the Fourth Proportional to 298,573.68, 412,049.04 and 224,854.16

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Solution

The fourth proportional to 298,573.68, 412,049.04 and 224,854.16 is: 310,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,573.68 : 412,049.04 = 224,854.16 : x
  2. Step 2: Convert to fraction form
    298,573.68/412,049.04 = 224,854.16/x
  3. Step 3: Cross multiply
    298,573.68x = 412,049.04 × 224,854.16
  4. Step 4: Simplify right side
    298,573.68x = 92,650,940,768.01
  5. Step 5: Solve for x
    x = 92,650,940,768.01/298,573.68
  6. Step 6: Final answer
    x = 310,311.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.