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Finding the Fourth Proportional to 265,684.69, 398,250.23 and 115,884.76

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Solution

The fourth proportional to 265,684.69, 398,250.23 and 115,884.76 is: 173,706.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,684.69 : 398,250.23 = 115,884.76 : x
  2. Step 2: Convert to fraction form
    265,684.69/398,250.23 = 115,884.76/x
  3. Step 3: Cross multiply
    265,684.69x = 398,250.23 × 115,884.76
  4. Step 4: Simplify right side
    265,684.69x = 46,151,129,752.82
  5. Step 5: Solve for x
    x = 46,151,129,752.82/265,684.69
  6. Step 6: Final answer
    x = 173,706.40

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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.