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Finding the Fourth Proportional to 297,808.32, 446,795.85 and 120,439.88

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Solution

The fourth proportional to 297,808.32, 446,795.85 and 120,439.88 is: 180,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,808.32 : 446,795.85 = 120,439.88 : x
  2. Step 2: Convert to fraction form
    297,808.32/446,795.85 = 120,439.88/x
  3. Step 3: Cross multiply
    297,808.32x = 446,795.85 × 120,439.88
  4. Step 4: Simplify right side
    297,808.32x = 53,812,038,558.50
  5. Step 5: Solve for x
    x = 53,812,038,558.50/297,808.32
  6. Step 6: Final answer
    x = 180,693.54

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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.