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Finding the Fourth Proportional to 329,045.08, 454,080.16 and 178,141

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Solution

The fourth proportional to 329,045.08, 454,080.16 and 178,141 is: 245,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,045.08 : 454,080.16 = 178,141 : x
  2. Step 2: Convert to fraction form
    329,045.08/454,080.16 = 178,141/x
  3. Step 3: Cross multiply
    329,045.08x = 454,080.16 × 178,141
  4. Step 4: Simplify right side
    329,045.08x = 80,890,293,782.56
  5. Step 5: Solve for x
    x = 80,890,293,782.56/329,045.08
  6. Step 6: Final answer
    x = 245,833.47

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1.5x scale

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.