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Finding the Fourth Proportional to 329,431.68, 454,375.68 and 208,592.64

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Solution

The fourth proportional to 329,431.68, 454,375.68 and 208,592.64 is: 287,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,431.68 : 454,375.68 = 208,592.64 : x
  2. Step 2: Convert to fraction form
    329,431.68/454,375.68 = 208,592.64/x
  3. Step 3: Cross multiply
    329,431.68x = 454,375.68 × 208,592.64
  4. Step 4: Simplify right side
    329,431.68x = 94,779,422,643.00
  5. Step 5: Solve for x
    x = 94,779,422,643.00/329,431.68
  6. Step 6: Final answer
    x = 287,705.85

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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.