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Finding the Fourth Proportional to 288,051.60, 431,299.80 and 288,051.60

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Solution

The fourth proportional to 288,051.60, 431,299.80 and 288,051.60 is: 431,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,051.60 : 431,299.80 = 288,051.60 : x
  2. Step 2: Convert to fraction form
    288,051.60/431,299.80 = 288,051.60/x
  3. Step 3: Cross multiply
    288,051.60x = 431,299.80 × 288,051.60
  4. Step 4: Simplify right side
    288,051.60x = 124,236,597,469.68
  5. Step 5: Solve for x
    x = 124,236,597,469.68/288,051.60
  6. Step 6: Final answer
    x = 431,299.80

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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.