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Finding the Fourth Proportional to 265,564.60, 398,417.82 and 115,816.96

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Solution

The fourth proportional to 265,564.60, 398,417.82 and 115,816.96 is: 173,756.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,564.60 : 398,417.82 = 115,816.96 : x
  2. Step 2: Convert to fraction form
    265,564.60/398,417.82 = 115,816.96/x
  3. Step 3: Cross multiply
    265,564.60x = 398,417.82 × 115,816.96
  4. Step 4: Simplify right side
    265,564.60x = 46,143,540,722.23
  5. Step 5: Solve for x
    x = 46,143,540,722.23/265,564.60
  6. Step 6: Final answer
    x = 173,756.37

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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.