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Finding the Fourth Proportional to 265,835, 398,918.50 and 177,150.73

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Solution

The fourth proportional to 265,835, 398,918.50 and 177,150.73 is: 265,836.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,835 : 398,918.50 = 177,150.73 : x
  2. Step 2: Convert to fraction form
    265,835/398,918.50 = 177,150.73/x
  3. Step 3: Cross multiply
    265,835x = 398,918.50 × 177,150.73
  4. Step 4: Simplify right side
    265,835x = 70,668,702,599.75
  5. Step 5: Solve for x
    x = 70,668,702,599.75/265,835
  6. Step 6: Final answer
    x = 265,836.71

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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.