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Finding the Fourth Proportional to 329,825.64, 455,160.26 and 178,922.64

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Solution

The fourth proportional to 329,825.64, 455,160.26 and 178,922.64 is: 246,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,825.64 : 455,160.26 = 178,922.64 : x
  2. Step 2: Convert to fraction form
    329,825.64/455,160.26 = 178,922.64/x
  3. Step 3: Cross multiply
    329,825.64x = 455,160.26 × 178,922.64
  4. Step 4: Simplify right side
    329,825.64x = 81,438,475,342.29
  5. Step 5: Solve for x
    x = 81,438,475,342.29/329,825.64
  6. Step 6: Final answer
    x = 246,913.72

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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.