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Finding the Fourth Proportional to 265,238.94, 397,854.50 and 65,559.34

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Solution

The fourth proportional to 265,238.94, 397,854.50 and 65,559.34 is: 98,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,238.94 : 397,854.50 = 65,559.34 : x
  2. Step 2: Convert to fraction form
    265,238.94/397,854.50 = 65,559.34/x
  3. Step 3: Cross multiply
    265,238.94x = 397,854.50 × 65,559.34
  4. Step 4: Simplify right side
    265,238.94x = 26,083,078,436.03
  5. Step 5: Solve for x
    x = 26,083,078,436.03/265,238.94
  6. Step 6: Final answer
    x = 98,338.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.