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Finding the Fourth Proportional to 297,833.46, 446,749.32 and 120,338.40

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Solution

The fourth proportional to 297,833.46, 446,749.32 and 120,338.40 is: 180,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,833.46 : 446,749.32 = 120,338.40 : x
  2. Step 2: Convert to fraction form
    297,833.46/446,749.32 = 120,338.40/x
  3. Step 3: Cross multiply
    297,833.46x = 446,749.32 × 120,338.40
  4. Step 4: Simplify right side
    297,833.46x = 53,761,098,369.89
  5. Step 5: Solve for x
    x = 53,761,098,369.89/297,833.46
  6. Step 6: Final answer
    x = 180,507.25

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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.