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Finding the Fourth Proportional to 477,217.56, 715,964.88 and 297,183.72

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Solution

The fourth proportional to 477,217.56, 715,964.88 and 297,183.72 is: 445,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,217.56 : 715,964.88 = 297,183.72 : x
  2. Step 2: Convert to fraction form
    477,217.56/715,964.88 = 297,183.72/x
  3. Step 3: Cross multiply
    477,217.56x = 715,964.88 × 297,183.72
  4. Step 4: Simplify right side
    477,217.56x = 212,773,106,427.75
  5. Step 5: Solve for x
    x = 212,773,106,427.75/477,217.56
  6. Step 6: Final answer
    x = 445,861.85

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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.