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Finding the Fourth Proportional to 523,077.84, 784,644.84 and 168,064.56

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Solution

The fourth proportional to 523,077.84, 784,644.84 and 168,064.56 is: 252,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,077.84 : 784,644.84 = 168,064.56 : x
  2. Step 2: Convert to fraction form
    523,077.84/784,644.84 = 168,064.56/x
  3. Step 3: Cross multiply
    523,077.84x = 784,644.84 × 168,064.56
  4. Step 4: Simplify right side
    523,077.84x = 131,870,989,790.87
  5. Step 5: Solve for x
    x = 131,870,989,790.87/523,077.84
  6. Step 6: Final answer
    x = 252,105.86

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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.