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Finding the Fourth Proportional to 414,000.10, 621,000.15 and 214,709.73

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Solution

The fourth proportional to 414,000.10, 621,000.15 and 214,709.73 is: 322,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,000.10 : 621,000.15 = 214,709.73 : x
  2. Step 2: Convert to fraction form
    414,000.10/621,000.15 = 214,709.73/x
  3. Step 3: Cross multiply
    414,000.10x = 621,000.15 × 214,709.73
  4. Step 4: Simplify right side
    414,000.10x = 133,334,771,431.46
  5. Step 5: Solve for x
    x = 133,334,771,431.46/414,000.10
  6. Step 6: Final answer
    x = 322,064.59

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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.