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Finding the Fourth Proportional to 289,736.80, 433,568.40 and 264,853.60

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Solution

The fourth proportional to 289,736.80, 433,568.40 and 264,853.60 is: 396,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,736.80 : 433,568.40 = 264,853.60 : x
  2. Step 2: Convert to fraction form
    289,736.80/433,568.40 = 264,853.60/x
  3. Step 3: Cross multiply
    289,736.80x = 433,568.40 × 264,853.60
  4. Step 4: Simplify right side
    289,736.80x = 114,832,151,586.24
  5. Step 5: Solve for x
    x = 114,832,151,586.24/289,736.80
  6. Step 6: Final answer
    x = 396,332.64

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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.