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Finding the Fourth Proportional to 294,677.33, 406,707.89 and 173,811.42

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Solution

The fourth proportional to 294,677.33, 406,707.89 and 173,811.42 is: 239,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,677.33 : 406,707.89 = 173,811.42 : x
  2. Step 2: Convert to fraction form
    294,677.33/406,707.89 = 173,811.42/x
  3. Step 3: Cross multiply
    294,677.33x = 406,707.89 × 173,811.42
  4. Step 4: Simplify right side
    294,677.33x = 70,690,475,017.05
  5. Step 5: Solve for x
    x = 70,690,475,017.05/294,677.33
  6. Step 6: Final answer
    x = 239,891.13

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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.