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Finding the Fourth Proportional to 329,318.86, 454,461.90 and 178,415.86

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Solution

The fourth proportional to 329,318.86, 454,461.90 and 178,415.86 is: 246,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,318.86 : 454,461.90 = 178,415.86 : x
  2. Step 2: Convert to fraction form
    329,318.86/454,461.90 = 178,415.86/x
  3. Step 3: Cross multiply
    329,318.86x = 454,461.90 × 178,415.86
  4. Step 4: Simplify right side
    329,318.86x = 81,083,210,725.73
  5. Step 5: Solve for x
    x = 81,083,210,725.73/329,318.86
  6. Step 6: Final answer
    x = 246,214.90

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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.