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Finding the Fourth Proportional to 357,045.85, 492,723.23 and 204,087.31

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Solution

The fourth proportional to 357,045.85, 492,723.23 and 204,087.31 is: 281,640.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,045.85 : 492,723.23 = 204,087.31 : x
  2. Step 2: Convert to fraction form
    357,045.85/492,723.23 = 204,087.31/x
  3. Step 3: Cross multiply
    357,045.85x = 492,723.23 × 204,087.31
  4. Step 4: Simplify right side
    357,045.85x = 100,558,558,585.21
  5. Step 5: Solve for x
    x = 100,558,558,585.21/357,045.85
  6. Step 6: Final answer
    x = 281,640.46

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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.