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Finding the Fourth Proportional to 471,854.71, 708,086.42 and 172,310.23

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Solution

The fourth proportional to 471,854.71, 708,086.42 and 172,310.23 is: 258,576.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,854.71 : 708,086.42 = 172,310.23 : x
  2. Step 2: Convert to fraction form
    471,854.71/708,086.42 = 172,310.23/x
  3. Step 3: Cross multiply
    471,854.71x = 708,086.42 × 172,310.23
  4. Step 4: Simplify right side
    471,854.71x = 122,010,533,890.08
  5. Step 5: Solve for x
    x = 122,010,533,890.08/471,854.71
  6. Step 6: Final answer
    x = 258,576.49

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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.