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Finding the Fourth Proportional to 414,000.30, 621,000.45 and 133,545.90

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Solution

The fourth proportional to 414,000.30, 621,000.45 and 133,545.90 is: 200,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,000.30 : 621,000.45 = 133,545.90 : x
  2. Step 2: Convert to fraction form
    414,000.30/621,000.45 = 133,545.90/x
  3. Step 3: Cross multiply
    414,000.30x = 621,000.45 × 133,545.90
  4. Step 4: Simplify right side
    414,000.30x = 82,932,063,995.66
  5. Step 5: Solve for x
    x = 82,932,063,995.66/414,000.30
  6. Step 6: Final answer
    x = 200,318.85

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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.