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Finding the Fourth Proportional to 471,853.96, 708,085.31 and 172,309.48

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Solution

The fourth proportional to 471,853.96, 708,085.31 and 172,309.48 is: 258,575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,853.96 : 708,085.31 = 172,309.48 : x
  2. Step 2: Convert to fraction form
    471,853.96/708,085.31 = 172,309.48/x
  3. Step 3: Cross multiply
    471,853.96x = 708,085.31 × 172,309.48
  4. Step 4: Simplify right side
    471,853.96x = 122,009,811,561.74
  5. Step 5: Solve for x
    x = 122,009,811,561.74/471,853.96
  6. Step 6: Final answer
    x = 258,575.37

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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.