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Finding the Fourth Proportional to 329,726.70, 455,025.74 and 178,823.70

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Solution

The fourth proportional to 329,726.70, 455,025.74 and 178,823.70 is: 246,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,726.70 : 455,025.74 = 178,823.70 : x
  2. Step 2: Convert to fraction form
    329,726.70/455,025.74 = 178,823.70/x
  3. Step 3: Cross multiply
    329,726.70x = 455,025.74 × 178,823.70
  4. Step 4: Simplify right side
    329,726.70x = 81,369,385,527.92
  5. Step 5: Solve for x
    x = 81,369,385,527.92/329,726.70
  6. Step 6: Final answer
    x = 246,778.27

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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.