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Finding the Fourth Proportional to 294,540.92, 406,482.72 and 173,753

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Solution

The fourth proportional to 294,540.92, 406,482.72 and 173,753 is: 239,788.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,540.92 : 406,482.72 = 173,753 : x
  2. Step 2: Convert to fraction form
    294,540.92/406,482.72 = 173,753/x
  3. Step 3: Cross multiply
    294,540.92x = 406,482.72 × 173,753
  4. Step 4: Simplify right side
    294,540.92x = 70,627,592,048.16
  5. Step 5: Solve for x
    x = 70,627,592,048.16/294,540.92
  6. Step 6: Final answer
    x = 239,788.73

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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.