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Finding the Fourth Proportional to 365,096.88, 547,838.04 and 259,165.08

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Solution

The fourth proportional to 365,096.88, 547,838.04 and 259,165.08 is: 388,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,096.88 : 547,838.04 = 259,165.08 : x
  2. Step 2: Convert to fraction form
    365,096.88/547,838.04 = 259,165.08/x
  3. Step 3: Cross multiply
    365,096.88x = 547,838.04 × 259,165.08
  4. Step 4: Simplify right side
    365,096.88x = 141,980,489,463.64
  5. Step 5: Solve for x
    x = 141,980,489,463.64/365,096.88
  6. Step 6: Final answer
    x = 388,884.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.