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Finding the Fourth Proportional to 294,681.33, 406,713.41 and 173,815.42

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Solution

The fourth proportional to 294,681.33, 406,713.41 and 173,815.42 is: 239,896.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,681.33 : 406,713.41 = 173,815.42 : x
  2. Step 2: Convert to fraction form
    294,681.33/406,713.41 = 173,815.42/x
  3. Step 3: Cross multiply
    294,681.33x = 406,713.41 × 173,815.42
  4. Step 4: Simplify right side
    294,681.33x = 70,693,062,178.78
  5. Step 5: Solve for x
    x = 70,693,062,178.78/294,681.33
  6. Step 6: Final answer
    x = 239,896.64

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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.