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Finding the Fourth Proportional to 433,470.57, 650,140.25 and 117,952.08

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Solution

The fourth proportional to 433,470.57, 650,140.25 and 117,952.08 is: 176,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,470.57 : 650,140.25 = 117,952.08 : x
  2. Step 2: Convert to fraction form
    433,470.57/650,140.25 = 117,952.08/x
  3. Step 3: Cross multiply
    433,470.57x = 650,140.25 × 117,952.08
  4. Step 4: Simplify right side
    433,470.57x = 76,685,394,189.46
  5. Step 5: Solve for x
    x = 76,685,394,189.46/433,470.57
  6. Step 6: Final answer
    x = 176,910.27

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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.