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Finding the Fourth Proportional to 288,286.35, 432,078.57 and 204,070.38

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Solution

The fourth proportional to 288,286.35, 432,078.57 and 204,070.38 is: 305,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,286.35 : 432,078.57 = 204,070.38 : x
  2. Step 2: Convert to fraction form
    288,286.35/432,078.57 = 204,070.38/x
  3. Step 3: Cross multiply
    288,286.35x = 432,078.57 × 204,070.38
  4. Step 4: Simplify right side
    288,286.35x = 88,174,437,969.76
  5. Step 5: Solve for x
    x = 88,174,437,969.76/288,286.35
  6. Step 6: Final answer
    x = 305,857.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.