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Finding the Fourth Proportional to 228,599.35, 316,069.09 and 200,223.63

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Solution

The fourth proportional to 228,599.35, 316,069.09 and 200,223.63 is: 276,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,599.35 : 316,069.09 = 200,223.63 : x
  2. Step 2: Convert to fraction form
    228,599.35/316,069.09 = 200,223.63/x
  3. Step 3: Cross multiply
    228,599.35x = 316,069.09 × 200,223.63
  4. Step 4: Simplify right side
    228,599.35x = 63,284,500,030.04
  5. Step 5: Solve for x
    x = 63,284,500,030.04/228,599.35
  6. Step 6: Final answer
    x = 276,835.87

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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.