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Finding the Fourth Proportional to 471,969.49, 708,056.75 and 172,449.59

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Solution

The fourth proportional to 471,969.49, 708,056.75 and 172,449.59 is: 258,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,969.49 : 708,056.75 = 172,449.59 : x
  2. Step 2: Convert to fraction form
    471,969.49/708,056.75 = 172,449.59/x
  3. Step 3: Cross multiply
    471,969.49x = 708,056.75 × 172,449.59
  4. Step 4: Simplify right side
    471,969.49x = 122,104,092,478.39
  5. Step 5: Solve for x
    x = 122,104,092,478.39/471,969.49
  6. Step 6: Final answer
    x = 258,711.84

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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.