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Finding the Fourth Proportional to 318,521.58, 477,784.79 and 116,262.66

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Solution

The fourth proportional to 318,521.58, 477,784.79 and 116,262.66 is: 174,394.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,521.58 : 477,784.79 = 116,262.66 : x
  2. Step 2: Convert to fraction form
    318,521.58/477,784.79 = 116,262.66/x
  3. Step 3: Cross multiply
    318,521.58x = 477,784.79 × 116,262.66
  4. Step 4: Simplify right side
    318,521.58x = 55,548,530,592.94
  5. Step 5: Solve for x
    x = 55,548,530,592.94/318,521.58
  6. Step 6: Final answer
    x = 174,394.87

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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.