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Finding the Fourth Proportional to 289,273.80, 433,910.70 and 164,857.80

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Solution

The fourth proportional to 289,273.80, 433,910.70 and 164,857.80 is: 247,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,273.80 : 433,910.70 = 164,857.80 : x
  2. Step 2: Convert to fraction form
    289,273.80/433,910.70 = 164,857.80/x
  3. Step 3: Cross multiply
    289,273.80x = 433,910.70 × 164,857.80
  4. Step 4: Simplify right side
    289,273.80x = 71,533,563,398.46
  5. Step 5: Solve for x
    x = 71,533,563,398.46/289,273.80
  6. Step 6: Final answer
    x = 247,286.70

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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.