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Finding the Fourth Proportional to 289,414.60, 433,805.10 and 102,329.80

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Solution

The fourth proportional to 289,414.60, 433,805.10 and 102,329.80 is: 153,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,414.60 : 433,805.10 = 102,329.80 : x
  2. Step 2: Convert to fraction form
    289,414.60/433,805.10 = 102,329.80/x
  3. Step 3: Cross multiply
    289,414.60x = 433,805.10 × 102,329.80
  4. Step 4: Simplify right side
    289,414.60x = 44,391,189,121.98
  5. Step 5: Solve for x
    x = 44,391,189,121.98/289,414.60
  6. Step 6: Final answer
    x = 153,382.69

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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.