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Finding the Fourth Proportional to 282,258.79, 389,339.94 and 167,456.15

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Solution

The fourth proportional to 282,258.79, 389,339.94 and 167,456.15 is: 230,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,258.79 : 389,339.94 = 167,456.15 : x
  2. Step 2: Convert to fraction form
    282,258.79/389,339.94 = 167,456.15/x
  3. Step 3: Cross multiply
    282,258.79x = 389,339.94 × 167,456.15
  4. Step 4: Simplify right side
    282,258.79x = 65,197,368,366.98
  5. Step 5: Solve for x
    x = 65,197,368,366.98/282,258.79
  6. Step 6: Final answer
    x = 230,984.37

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