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Finding the Fourth Proportional to 471,186.88, 707,007.36 and 234,550.40

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Solution

The fourth proportional to 471,186.88, 707,007.36 and 234,550.40 is: 351,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,186.88 : 707,007.36 = 234,550.40 : x
  2. Step 2: Convert to fraction form
    471,186.88/707,007.36 = 234,550.40/x
  3. Step 3: Cross multiply
    471,186.88x = 707,007.36 × 234,550.40
  4. Step 4: Simplify right side
    471,186.88x = 165,828,859,090.94
  5. Step 5: Solve for x
    x = 165,828,859,090.94/471,186.88
  6. Step 6: Final answer
    x = 351,938.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.