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Finding the Fourth Proportional to 411,624.24, 567,496.92 and 296,806.80

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Solution

The fourth proportional to 411,624.24, 567,496.92 and 296,806.80 is: 409,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,624.24 : 567,496.92 = 296,806.80 : x
  2. Step 2: Convert to fraction form
    411,624.24/567,496.92 = 296,806.80/x
  3. Step 3: Cross multiply
    411,624.24x = 567,496.92 × 296,806.80
  4. Step 4: Simplify right side
    411,624.24x = 168,436,944,835.06
  5. Step 5: Solve for x
    x = 168,436,944,835.06/411,624.24
  6. Step 6: Final answer
    x = 409,200.74

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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.