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Finding the Fourth Proportional to 471,836.42, 708,059.11 and 172,291.91

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Solution

The fourth proportional to 471,836.42, 708,059.11 and 172,291.91 is: 258,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,836.42 : 708,059.11 = 172,291.91 : x
  2. Step 2: Convert to fraction form
    471,836.42/708,059.11 = 172,291.91/x
  3. Step 3: Cross multiply
    471,836.42x = 708,059.11 × 172,291.91
  4. Step 4: Simplify right side
    471,836.42x = 121,992,857,794.22
  5. Step 5: Solve for x
    x = 121,992,857,794.22/471,836.42
  6. Step 6: Final answer
    x = 258,549.05

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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.