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Finding the Fourth Proportional to 329,767.56, 455,147.22 and 186,533.64

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Solution

The fourth proportional to 329,767.56, 455,147.22 and 186,533.64 is: 257,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,767.56 : 455,147.22 = 186,533.64 : x
  2. Step 2: Convert to fraction form
    329,767.56/455,147.22 = 186,533.64/x
  3. Step 3: Cross multiply
    329,767.56x = 455,147.22 × 186,533.64
  4. Step 4: Simplify right side
    329,767.56x = 84,900,267,682.48
  5. Step 5: Solve for x
    x = 84,900,267,682.48/329,767.56
  6. Step 6: Final answer
    x = 257,454.88

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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.