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Finding the Fourth Proportional to 228,714.56, 314,973.60 and 205,858.88

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Solution

The fourth proportional to 228,714.56, 314,973.60 and 205,858.88 is: 283,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,714.56 : 314,973.60 = 205,858.88 : x
  2. Step 2: Convert to fraction form
    228,714.56/314,973.60 = 205,858.88/x
  3. Step 3: Cross multiply
    228,714.56x = 314,973.60 × 205,858.88
  4. Step 4: Simplify right side
    228,714.56x = 64,840,112,525.57
  5. Step 5: Solve for x
    x = 64,840,112,525.57/228,714.56
  6. Step 6: Final answer
    x = 283,497.97

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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.