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Finding the Fourth Proportional to 329,217.50, 454,320.16 and 178,314.50

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Solution

The fourth proportional to 329,217.50, 454,320.16 and 178,314.50 is: 246,074.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,217.50 : 454,320.16 = 178,314.50 : x
  2. Step 2: Convert to fraction form
    329,217.50/454,320.16 = 178,314.50/x
  3. Step 3: Cross multiply
    329,217.50x = 454,320.16 × 178,314.50
  4. Step 4: Simplify right side
    329,217.50x = 81,011,872,170.32
  5. Step 5: Solve for x
    x = 81,011,872,170.32/329,217.50
  6. Step 6: Final answer
    x = 246,074.02

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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.