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Finding the Fourth Proportional to 333,403.72, 500,191.50 and 120,163.12

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Solution

The fourth proportional to 333,403.72, 500,191.50 and 120,163.12 is: 180,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,403.72 : 500,191.50 = 120,163.12 : x
  2. Step 2: Convert to fraction form
    333,403.72/500,191.50 = 120,163.12/x
  3. Step 3: Cross multiply
    333,403.72x = 500,191.50 × 120,163.12
  4. Step 4: Simplify right side
    333,403.72x = 60,104,571,237.48
  5. Step 5: Solve for x
    x = 60,104,571,237.48/333,403.72
  6. Step 6: Final answer
    x = 180,275.65

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1.5x scale

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.