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Finding the Fourth Proportional to 512,064.14, 768,096.37 and 175,107.92

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Solution

The fourth proportional to 512,064.14, 768,096.37 and 175,107.92 is: 262,661.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,064.14 : 768,096.37 = 175,107.92 : x
  2. Step 2: Convert to fraction form
    512,064.14/768,096.37 = 175,107.92/x
  3. Step 3: Cross multiply
    512,064.14x = 768,096.37 × 175,107.92
  4. Step 4: Simplify right side
    512,064.14x = 134,499,754,088.65
  5. Step 5: Solve for x
    x = 134,499,754,088.65/512,064.14
  6. Step 6: Final answer
    x = 262,661.93

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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.