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Finding the Fourth Proportional to 491,188.63, 736,782.94 and 175,626.40

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Solution

The fourth proportional to 491,188.63, 736,782.94 and 175,626.40 is: 263,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,188.63 : 736,782.94 = 175,626.40 : x
  2. Step 2: Convert to fraction form
    491,188.63/736,782.94 = 175,626.40/x
  3. Step 3: Cross multiply
    491,188.63x = 736,782.94 × 175,626.40
  4. Step 4: Simplify right side
    491,188.63x = 129,398,530,771.57
  5. Step 5: Solve for x
    x = 129,398,530,771.57/491,188.63
  6. Step 6: Final answer
    x = 263,439.59

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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.