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Finding the Fourth Proportional to 288,755.29, 433,206.74 and 111,214.63

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Solution

The fourth proportional to 288,755.29, 433,206.74 and 111,214.63 is: 166,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,755.29 : 433,206.74 = 111,214.63 : x
  2. Step 2: Convert to fraction form
    288,755.29/433,206.74 = 111,214.63/x
  3. Step 3: Cross multiply
    288,755.29x = 433,206.74 × 111,214.63
  4. Step 4: Simplify right side
    288,755.29x = 48,178,926,497.63
  5. Step 5: Solve for x
    x = 48,178,926,497.63/288,755.29
  6. Step 6: Final answer
    x = 166,850.37

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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.