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Finding the Fourth Proportional to 329,778, 455,093.64 and 186,534.96

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Solution

The fourth proportional to 329,778, 455,093.64 and 186,534.96 is: 257,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,778 : 455,093.64 = 186,534.96 : x
  2. Step 2: Convert to fraction form
    329,778/455,093.64 = 186,534.96/x
  3. Step 3: Cross multiply
    329,778x = 455,093.64 × 186,534.96
  4. Step 4: Simplify right side
    329,778x = 84,890,873,933.65
  5. Step 5: Solve for x
    x = 84,890,873,933.65/329,778
  6. Step 6: Final answer
    x = 257,418.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.