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Finding the Fourth Proportional to 289,153.40, 433,794.90 and 111,644.60

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Solution

The fourth proportional to 289,153.40, 433,794.90 and 111,644.60 is: 167,491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,153.40 : 433,794.90 = 111,644.60 : x
  2. Step 2: Convert to fraction form
    289,153.40/433,794.90 = 111,644.60/x
  3. Step 3: Cross multiply
    289,153.40x = 433,794.90 × 111,644.60
  4. Step 4: Simplify right side
    289,153.40x = 48,430,858,092.54
  5. Step 5: Solve for x
    x = 48,430,858,092.54/289,153.40
  6. Step 6: Final answer
    x = 167,491.92

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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.