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Finding the Fourth Proportional to 289,057.38, 433,289.58 and 111,494.58

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Solution

The fourth proportional to 289,057.38, 433,289.58 and 111,494.58 is: 167,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,057.38 : 433,289.58 = 111,494.58 : x
  2. Step 2: Convert to fraction form
    289,057.38/433,289.58 = 111,494.58/x
  3. Step 3: Cross multiply
    289,057.38x = 433,289.58 × 111,494.58
  4. Step 4: Simplify right side
    289,057.38x = 48,309,439,740.48
  5. Step 5: Solve for x
    x = 48,309,439,740.48/289,057.38
  6. Step 6: Final answer
    x = 167,127.51

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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.