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Finding the Fourth Proportional to 367,421.75, 507,013.96 and 206,245.65

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Solution

The fourth proportional to 367,421.75, 507,013.96 and 206,245.65 is: 284,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,421.75 : 507,013.96 = 206,245.65 : x
  2. Step 2: Convert to fraction form
    367,421.75/507,013.96 = 206,245.65/x
  3. Step 3: Cross multiply
    367,421.75x = 507,013.96 × 206,245.65
  4. Step 4: Simplify right side
    367,421.75x = 104,569,423,739.27
  5. Step 5: Solve for x
    x = 104,569,423,739.27/367,421.75
  6. Step 6: Final answer
    x = 284,603.25

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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.