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Finding the Fourth Proportional to 531,620.34, 733,653.78 and 289,916.10

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Solution

The fourth proportional to 531,620.34, 733,653.78 and 289,916.10 is: 400,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,620.34 : 733,653.78 = 289,916.10 : x
  2. Step 2: Convert to fraction form
    531,620.34/733,653.78 = 289,916.10/x
  3. Step 3: Cross multiply
    531,620.34x = 733,653.78 × 289,916.10
  4. Step 4: Simplify right side
    531,620.34x = 212,698,042,647.86
  5. Step 5: Solve for x
    x = 212,698,042,647.86/531,620.34
  6. Step 6: Final answer
    x = 400,093.88

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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.