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Finding the Fourth Proportional to 289,197.60, 433,537.20 and 257,704.80

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Solution

The fourth proportional to 289,197.60, 433,537.20 and 257,704.80 is: 386,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,197.60 : 433,537.20 = 257,704.80 : x
  2. Step 2: Convert to fraction form
    289,197.60/433,537.20 = 257,704.80/x
  3. Step 3: Cross multiply
    289,197.60x = 433,537.20 × 257,704.80
  4. Step 4: Simplify right side
    289,197.60x = 111,724,617,418.56
  5. Step 5: Solve for x
    x = 111,724,617,418.56/289,197.60
  6. Step 6: Final answer
    x = 386,326.23

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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.