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Finding the Fourth Proportional to 282,258.54, 389,339.60 and 167,455.90

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Solution

The fourth proportional to 282,258.54, 389,339.60 and 167,455.90 is: 230,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,258.54 : 389,339.60 = 167,455.90 : x
  2. Step 2: Convert to fraction form
    282,258.54/389,339.60 = 167,455.90/x
  3. Step 3: Cross multiply
    282,258.54x = 389,339.60 × 167,455.90
  4. Step 4: Simplify right side
    282,258.54x = 65,197,212,286.36
  5. Step 5: Solve for x
    x = 65,197,212,286.36/282,258.54
  6. Step 6: Final answer
    x = 230,984.02

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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.