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Finding the Fourth Proportional to 329,319.98, 454,462.02 and 178,416.98

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Solution

The fourth proportional to 329,319.98, 454,462.02 and 178,416.98 is: 246,215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,319.98 : 454,462.02 = 178,416.98 : x
  2. Step 2: Convert to fraction form
    329,319.98/454,462.02 = 178,416.98/x
  3. Step 3: Cross multiply
    329,319.98x = 454,462.02 × 178,416.98
  4. Step 4: Simplify right side
    329,319.98x = 81,083,741,133.10
  5. Step 5: Solve for x
    x = 81,083,741,133.10/329,319.98
  6. Step 6: Final answer
    x = 246,215.67

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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.