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Finding the Fourth Proportional to 294,777.04, 406,857.80 and 187,326

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Solution

The fourth proportional to 294,777.04, 406,857.80 and 187,326 is: 258,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,777.04 : 406,857.80 = 187,326 : x
  2. Step 2: Convert to fraction form
    294,777.04/406,857.80 = 187,326/x
  3. Step 3: Cross multiply
    294,777.04x = 406,857.80 × 187,326
  4. Step 4: Simplify right side
    294,777.04x = 76,215,044,242.80
  5. Step 5: Solve for x
    x = 76,215,044,242.80/294,777.04
  6. Step 6: Final answer
    x = 258,551.49

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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.