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Finding the Fourth Proportional to 302,745.57, 418,213.82 and 286,802.34

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Solution

The fourth proportional to 302,745.57, 418,213.82 and 286,802.34 is: 396,189.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,745.57 : 418,213.82 = 286,802.34 : x
  2. Step 2: Convert to fraction form
    302,745.57/418,213.82 = 286,802.34/x
  3. Step 3: Cross multiply
    302,745.57x = 418,213.82 × 286,802.34
  4. Step 4: Simplify right side
    302,745.57x = 119,944,702,196.34
  5. Step 5: Solve for x
    x = 119,944,702,196.34/302,745.57
  6. Step 6: Final answer
    x = 396,189.78

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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.