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Finding the Fourth Proportional to 270,835.68, 408,116 and 224,491.76

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Solution

The fourth proportional to 270,835.68, 408,116 and 224,491.76 is: 338,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,835.68 : 408,116 = 224,491.76 : x
  2. Step 2: Convert to fraction form
    270,835.68/408,116 = 224,491.76/x
  3. Step 3: Cross multiply
    270,835.68x = 408,116 × 224,491.76
  4. Step 4: Simplify right side
    270,835.68x = 91,618,679,124.16
  5. Step 5: Solve for x
    x = 91,618,679,124.16/270,835.68
  6. Step 6: Final answer
    x = 338,281.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.