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Finding the Fourth Proportional to 286,509.60, 395,339.28 and 165,627.36

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Solution

The fourth proportional to 286,509.60, 395,339.28 and 165,627.36 is: 228,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,509.60 : 395,339.28 = 165,627.36 : x
  2. Step 2: Convert to fraction form
    286,509.60/395,339.28 = 165,627.36/x
  3. Step 3: Cross multiply
    286,509.60x = 395,339.28 × 165,627.36
  4. Step 4: Simplify right side
    286,509.60x = 65,479,001,250.70
  5. Step 5: Solve for x
    x = 65,479,001,250.70/286,509.60
  6. Step 6: Final answer
    x = 228,540.34

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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.