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Finding the Fourth Proportional to 329,378.10, 454,543.38 and 178,475.10

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Solution

The fourth proportional to 329,378.10, 454,543.38 and 178,475.10 is: 246,296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,378.10 : 454,543.38 = 178,475.10 : x
  2. Step 2: Convert to fraction form
    329,378.10/454,543.38 = 178,475.10/x
  3. Step 3: Cross multiply
    329,378.10x = 454,543.38 × 178,475.10
  4. Step 4: Simplify right side
    329,378.10x = 81,124,675,199.84
  5. Step 5: Solve for x
    x = 81,124,675,199.84/329,378.10
  6. Step 6: Final answer
    x = 246,296.51

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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.