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Finding the Fourth Proportional to 294,548.94, 406,406.97 and 173,680.74

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Solution

The fourth proportional to 294,548.94, 406,406.97 and 173,680.74 is: 239,637.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,548.94 : 406,406.97 = 173,680.74 : x
  2. Step 2: Convert to fraction form
    294,548.94/406,406.97 = 173,680.74/x
  3. Step 3: Cross multiply
    294,548.94x = 406,406.97 × 173,680.74
  4. Step 4: Simplify right side
    294,548.94x = 70,585,063,290.76
  5. Step 5: Solve for x
    x = 70,585,063,290.76/294,548.94
  6. Step 6: Final answer
    x = 239,637.81

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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.