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Finding the Fourth Proportional to 228,599.43, 316,068.92 and 200,223.51

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Solution

The fourth proportional to 228,599.43, 316,068.92 and 200,223.51 is: 276,835.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,599.43 : 316,068.92 = 200,223.51 : x
  2. Step 2: Convert to fraction form
    228,599.43/316,068.92 = 200,223.51/x
  3. Step 3: Cross multiply
    228,599.43x = 316,068.92 × 200,223.51
  4. Step 4: Simplify right side
    228,599.43x = 63,284,428,564.31
  5. Step 5: Solve for x
    x = 63,284,428,564.31/228,599.43
  6. Step 6: Final answer
    x = 276,835.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.