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Finding the Fourth Proportional to 294,911.37, 406,849.37 and 187,423.83

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Solution

The fourth proportional to 294,911.37, 406,849.37 and 187,423.83 is: 258,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,911.37 : 406,849.37 = 187,423.83 : x
  2. Step 2: Convert to fraction form
    294,911.37/406,849.37 = 187,423.83/x
  3. Step 3: Cross multiply
    294,911.37x = 406,849.37 × 187,423.83
  4. Step 4: Simplify right side
    294,911.37x = 76,253,266,221.37
  5. Step 5: Solve for x
    x = 76,253,266,221.37/294,911.37
  6. Step 6: Final answer
    x = 258,563.33

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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.