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Finding the Fourth Proportional to 414,213.75, 571,543.70 and 232,900.52

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Solution

The fourth proportional to 414,213.75, 571,543.70 and 232,900.52 is: 321,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,213.75 : 571,543.70 = 232,900.52 : x
  2. Step 2: Convert to fraction form
    414,213.75/571,543.70 = 232,900.52/x
  3. Step 3: Cross multiply
    414,213.75x = 571,543.70 × 232,900.52
  4. Step 4: Simplify right side
    414,213.75x = 133,112,820,910.50
  5. Step 5: Solve for x
    x = 133,112,820,910.50/414,213.75
  6. Step 6: Final answer
    x = 321,362.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.