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Finding the Fourth Proportional to 260,434.44, 359,400.24 and 147,258

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Solution

The fourth proportional to 260,434.44, 359,400.24 and 147,258 is: 203,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,434.44 : 359,400.24 = 147,258 : x
  2. Step 2: Convert to fraction form
    260,434.44/359,400.24 = 147,258/x
  3. Step 3: Cross multiply
    260,434.44x = 359,400.24 × 147,258
  4. Step 4: Simplify right side
    260,434.44x = 52,924,560,541.92
  5. Step 5: Solve for x
    x = 52,924,560,541.92/260,434.44
  6. Step 6: Final answer
    x = 203,216.44

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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.