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Finding the Fourth Proportional to 329,113.57, 454,176.74 and 178,210.57

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Solution

The fourth proportional to 329,113.57, 454,176.74 and 178,210.57 is: 245,930.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,113.57 : 454,176.74 = 178,210.57 : x
  2. Step 2: Convert to fraction form
    329,113.57/454,176.74 = 178,210.57/x
  3. Step 3: Cross multiply
    329,113.57x = 454,176.74 × 178,210.57
  4. Step 4: Simplify right side
    329,113.57x = 80,939,095,716.14
  5. Step 5: Solve for x
    x = 80,939,095,716.14/329,113.57
  6. Step 6: Final answer
    x = 245,930.59

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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.