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Finding the Fourth Proportional to 288,817.70, 433,227.76 and 189,605.66

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Solution

The fourth proportional to 288,817.70, 433,227.76 and 189,605.66 is: 284,409.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,817.70 : 433,227.76 = 189,605.66 : x
  2. Step 2: Convert to fraction form
    288,817.70/433,227.76 = 189,605.66/x
  3. Step 3: Cross multiply
    288,817.70x = 433,227.76 × 189,605.66
  4. Step 4: Simplify right side
    288,817.70x = 82,142,435,365.12
  5. Step 5: Solve for x
    x = 82,142,435,365.12/288,817.70
  6. Step 6: Final answer
    x = 284,409.28

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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.