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Finding the Fourth Proportional to 329,305.98, 454,442.70 and 178,402.98

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Solution

The fourth proportional to 329,305.98, 454,442.70 and 178,402.98 is: 246,196.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,305.98 : 454,442.70 = 178,402.98 : x
  2. Step 2: Convert to fraction form
    329,305.98/454,442.70 = 178,402.98/x
  3. Step 3: Cross multiply
    329,305.98x = 454,442.70 × 178,402.98
  4. Step 4: Simplify right side
    329,305.98x = 81,073,931,919.25
  5. Step 5: Solve for x
    x = 81,073,931,919.25/329,305.98
  6. Step 6: Final answer
    x = 246,196.35

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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.