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Finding the Fourth Proportional to 471,851.46, 708,081.55 and 172,306.98

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Solution

The fourth proportional to 471,851.46, 708,081.55 and 172,306.98 is: 258,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,851.46 : 708,081.55 = 172,306.98 : x
  2. Step 2: Convert to fraction form
    471,851.46/708,081.55 = 172,306.98/x
  3. Step 3: Cross multiply
    471,851.46x = 708,081.55 × 172,306.98
  4. Step 4: Simplify right side
    471,851.46x = 122,007,393,043.45
  5. Step 5: Solve for x
    x = 122,007,393,043.45/471,851.46
  6. Step 6: Final answer
    x = 258,571.61

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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.