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Finding the Fourth Proportional to 329,446.16, 454,635.64 and 178,543.16

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Solution

The fourth proportional to 329,446.16, 454,635.64 and 178,543.16 is: 246,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,446.16 : 454,635.64 = 178,543.16 : x
  2. Step 2: Convert to fraction form
    329,446.16/454,635.64 = 178,543.16/x
  3. Step 3: Cross multiply
    329,446.16x = 454,635.64 × 178,543.16
  4. Step 4: Simplify right side
    329,446.16x = 81,172,083,814.22
  5. Step 5: Solve for x
    x = 81,172,083,814.22/329,446.16
  6. Step 6: Final answer
    x = 246,389.53

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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.