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Finding the Fourth Proportional to 294,596, 406,555.80 and 173,742.38

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Solution

The fourth proportional to 294,596, 406,555.80 and 173,742.38 is: 239,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,596 : 406,555.80 = 173,742.38 : x
  2. Step 2: Convert to fraction form
    294,596/406,555.80 = 173,742.38/x
  3. Step 3: Cross multiply
    294,596x = 406,555.80 × 173,742.38
  4. Step 4: Simplify right side
    294,596x = 70,635,972,294.80
  5. Step 5: Solve for x
    x = 70,635,972,294.80/294,596
  6. Step 6: Final answer
    x = 239,772.34

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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.