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Finding the Fourth Proportional to 329,492.32, 454,747.98 and 208,644.64

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Solution

The fourth proportional to 329,492.32, 454,747.98 and 208,644.64 is: 287,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,492.32 : 454,747.98 = 208,644.64 : x
  2. Step 2: Convert to fraction form
    329,492.32/454,747.98 = 208,644.64/x
  3. Step 3: Cross multiply
    329,492.32x = 454,747.98 × 208,644.64
  4. Step 4: Simplify right side
    329,492.32x = 94,880,728,577.83
  5. Step 5: Solve for x
    x = 94,880,728,577.83/329,492.32
  6. Step 6: Final answer
    x = 287,960.36

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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.