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Finding the Fourth Proportional to 294,243.49, 406,097.38 and 171,776.04

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Solution

The fourth proportional to 294,243.49, 406,097.38 and 171,776.04 is: 237,075.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,243.49 : 406,097.38 = 171,776.04 : x
  2. Step 2: Convert to fraction form
    294,243.49/406,097.38 = 171,776.04/x
  3. Step 3: Cross multiply
    294,243.49x = 406,097.38 × 171,776.04
  4. Step 4: Simplify right side
    294,243.49x = 69,757,799,790.78
  5. Step 5: Solve for x
    x = 69,757,799,790.78/294,243.49
  6. Step 6: Final answer
    x = 237,075.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.