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Finding the Fourth Proportional to 294,243.99, 406,098.07 and 171,776.54

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Solution

The fourth proportional to 294,243.99, 406,098.07 and 171,776.54 is: 237,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,243.99 : 406,098.07 = 171,776.54 : x
  2. Step 2: Convert to fraction form
    294,243.99/406,098.07 = 171,776.54/x
  3. Step 3: Cross multiply
    294,243.99x = 406,098.07 × 171,776.54
  4. Step 4: Simplify right side
    294,243.99x = 69,758,121,365.28
  5. Step 5: Solve for x
    x = 69,758,121,365.28/294,243.99
  6. Step 6: Final answer
    x = 237,075.77

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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.