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Finding the Fourth Proportional to 542,057.82, 812,939.85 and 226,448.70

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Solution

The fourth proportional to 542,057.82, 812,939.85 and 226,448.70 is: 339,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,057.82 : 812,939.85 = 226,448.70 : x
  2. Step 2: Convert to fraction form
    542,057.82/812,939.85 = 226,448.70/x
  3. Step 3: Cross multiply
    542,057.82x = 812,939.85 × 226,448.70
  4. Step 4: Simplify right side
    542,057.82x = 184,089,172,210.70
  5. Step 5: Solve for x
    x = 184,089,172,210.70/542,057.82
  6. Step 6: Final answer
    x = 339,611.69

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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.