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Finding the Fourth Proportional to 289,833.63, 399,974.49 and 175,096.32

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Solution

The fourth proportional to 289,833.63, 399,974.49 and 175,096.32 is: 241,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,833.63 : 399,974.49 = 175,096.32 : x
  2. Step 2: Convert to fraction form
    289,833.63/399,974.49 = 175,096.32/x
  3. Step 3: Cross multiply
    289,833.63x = 399,974.49 × 175,096.32
  4. Step 4: Simplify right side
    289,833.63x = 70,034,061,292.88
  5. Step 5: Solve for x
    x = 70,034,061,292.88/289,833.63
  6. Step 6: Final answer
    x = 241,635.39

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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.