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Finding the Fourth Proportional to 357,406.12, 493,231.94 and 206,503.08

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Solution

The fourth proportional to 357,406.12, 493,231.94 and 206,503.08 is: 284,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,406.12 : 493,231.94 = 206,503.08 : x
  2. Step 2: Convert to fraction form
    357,406.12/493,231.94 = 206,503.08/x
  3. Step 3: Cross multiply
    357,406.12x = 493,231.94 × 206,503.08
  4. Step 4: Simplify right side
    357,406.12x = 101,853,914,764.38
  5. Step 5: Solve for x
    x = 101,853,914,764.38/357,406.12
  6. Step 6: Final answer
    x = 284,980.89

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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.