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Finding the Fourth Proportional to 289,399.16, 434,169.78 and 233,743.64

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Solution

The fourth proportional to 289,399.16, 434,169.78 and 233,743.64 is: 350,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,399.16 : 434,169.78 = 233,743.64 : x
  2. Step 2: Convert to fraction form
    289,399.16/434,169.78 = 233,743.64/x
  3. Step 3: Cross multiply
    289,399.16x = 434,169.78 × 233,743.64
  4. Step 4: Simplify right side
    289,399.16x = 101,484,424,755.20
  5. Step 5: Solve for x
    x = 101,484,424,755.20/289,399.16
  6. Step 6: Final answer
    x = 350,672.84

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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.