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Finding the Fourth Proportional to 305,999.10, 458,998.65 and 299,778.30

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Solution

The fourth proportional to 305,999.10, 458,998.65 and 299,778.30 is: 449,667.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,999.10 : 458,998.65 = 299,778.30 : x
  2. Step 2: Convert to fraction form
    305,999.10/458,998.65 = 299,778.30/x
  3. Step 3: Cross multiply
    305,999.10x = 458,998.65 × 299,778.30
  4. Step 4: Simplify right side
    305,999.10x = 137,597,834,999.30
  5. Step 5: Solve for x
    x = 137,597,834,999.30/305,999.10
  6. Step 6: Final answer
    x = 449,667.45

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Similar ratio
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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.