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Finding the Fourth Proportional to 289,733.80, 433,563.90 and 264,850.60

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Solution

The fourth proportional to 289,733.80, 433,563.90 and 264,850.60 is: 396,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,733.80 : 433,563.90 = 264,850.60 : x
  2. Step 2: Convert to fraction form
    289,733.80/433,563.90 = 264,850.60/x
  3. Step 3: Cross multiply
    289,733.80x = 433,563.90 × 264,850.60
  4. Step 4: Simplify right side
    289,733.80x = 114,829,659,053.34
  5. Step 5: Solve for x
    x = 114,829,659,053.34/289,733.80
  6. Step 6: Final answer
    x = 396,328.14

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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.