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Finding the Fourth Proportional to 417,614.94, 625,885.92 and 189,744.12

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Solution

The fourth proportional to 417,614.94, 625,885.92 and 189,744.12 is: 284,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,614.94 : 625,885.92 = 189,744.12 : x
  2. Step 2: Convert to fraction form
    417,614.94/625,885.92 = 189,744.12/x
  3. Step 3: Cross multiply
    417,614.94x = 625,885.92 × 189,744.12
  4. Step 4: Simplify right side
    417,614.94x = 118,758,173,110.79
  5. Step 5: Solve for x
    x = 118,758,173,110.79/417,614.94
  6. Step 6: Final answer
    x = 284,372.42

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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.