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Finding the Fourth Proportional to 512,890.04, 769,326.56 and 197,415.29

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Solution

The fourth proportional to 512,890.04, 769,326.56 and 197,415.29 is: 296,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,890.04 : 769,326.56 = 197,415.29 : x
  2. Step 2: Convert to fraction form
    512,890.04/769,326.56 = 197,415.29/x
  3. Step 3: Cross multiply
    512,890.04x = 769,326.56 × 197,415.29
  4. Step 4: Simplify right side
    512,890.04x = 151,876,827,623.65
  5. Step 5: Solve for x
    x = 151,876,827,623.65/512,890.04
  6. Step 6: Final answer
    x = 296,119.67

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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.