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Finding the Fourth Proportional to 471,837.92, 708,061.37 and 172,293.41

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Solution

The fourth proportional to 471,837.92, 708,061.37 and 172,293.41 is: 258,551.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,837.92 : 708,061.37 = 172,293.41 : x
  2. Step 2: Convert to fraction form
    471,837.92/708,061.37 = 172,293.41/x
  3. Step 3: Cross multiply
    471,837.92x = 708,061.37 × 172,293.41
  4. Step 4: Simplify right side
    471,837.92x = 121,994,308,835.26
  5. Step 5: Solve for x
    x = 121,994,308,835.26/471,837.92
  6. Step 6: Final answer
    x = 258,551.31

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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.