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Finding the Fourth Proportional to 288,892.20, 433,338.30 and 200,245.80

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Solution

The fourth proportional to 288,892.20, 433,338.30 and 200,245.80 is: 300,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,892.20 : 433,338.30 = 200,245.80 : x
  2. Step 2: Convert to fraction form
    288,892.20/433,338.30 = 200,245.80/x
  3. Step 3: Cross multiply
    288,892.20x = 433,338.30 × 200,245.80
  4. Step 4: Simplify right side
    288,892.20x = 86,774,174,554.14
  5. Step 5: Solve for x
    x = 86,774,174,554.14/288,892.20
  6. Step 6: Final answer
    x = 300,368.70

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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.