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Finding the Fourth Proportional to 329,704.74, 454,989.51 and 186,492.78

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Solution

The fourth proportional to 329,704.74, 454,989.51 and 186,492.78 is: 257,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,704.74 : 454,989.51 = 186,492.78 : x
  2. Step 2: Convert to fraction form
    329,704.74/454,989.51 = 186,492.78/x
  3. Step 3: Cross multiply
    329,704.74x = 454,989.51 × 186,492.78
  4. Step 4: Simplify right side
    329,704.74x = 84,852,258,590.74
  5. Step 5: Solve for x
    x = 84,852,258,590.74/329,704.74
  6. Step 6: Final answer
    x = 257,358.32

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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.