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Finding the Fourth Proportional to 294,725.16, 406,769.94 and 173,896.38

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Solution

The fourth proportional to 294,725.16, 406,769.94 and 173,896.38 is: 240,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,725.16 : 406,769.94 = 173,896.38 : x
  2. Step 2: Convert to fraction form
    294,725.16/406,769.94 = 173,896.38/x
  3. Step 3: Cross multiply
    294,725.16x = 406,769.94 × 173,896.38
  4. Step 4: Simplify right side
    294,725.16x = 70,735,820,058.82
  5. Step 5: Solve for x
    x = 70,735,820,058.82/294,725.16
  6. Step 6: Final answer
    x = 240,006.05

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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.