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Finding the Fourth Proportional to 293,999.10, 440,998.65 and 116,447.10

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Solution

The fourth proportional to 293,999.10, 440,998.65 and 116,447.10 is: 174,670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,999.10 : 440,998.65 = 116,447.10 : x
  2. Step 2: Convert to fraction form
    293,999.10/440,998.65 = 116,447.10/x
  3. Step 3: Cross multiply
    293,999.10x = 440,998.65 × 116,447.10
  4. Step 4: Simplify right side
    293,999.10x = 51,353,013,896.42
  5. Step 5: Solve for x
    x = 51,353,013,896.42/293,999.10
  6. Step 6: Final answer
    x = 174,670.65

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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.