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Finding the Fourth Proportional to 511,639.14, 767,458.16 and 174,651.82

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Solution

The fourth proportional to 511,639.14, 767,458.16 and 174,651.82 is: 261,977.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,639.14 : 767,458.16 = 174,651.82 : x
  2. Step 2: Convert to fraction form
    511,639.14/767,458.16 = 174,651.82/x
  3. Step 3: Cross multiply
    511,639.14x = 767,458.16 × 174,651.82
  4. Step 4: Simplify right side
    511,639.14x = 134,037,964,417.85
  5. Step 5: Solve for x
    x = 134,037,964,417.85/511,639.14
  6. Step 6: Final answer
    x = 261,977.54

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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.