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Finding the Fourth Proportional to 471,970.24, 708,057.88 and 172,450.34

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Solution

The fourth proportional to 471,970.24, 708,057.88 and 172,450.34 is: 258,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,970.24 : 708,057.88 = 172,450.34 : x
  2. Step 2: Convert to fraction form
    471,970.24/708,057.88 = 172,450.34/x
  3. Step 3: Cross multiply
    471,970.24x = 708,057.88 × 172,450.34
  4. Step 4: Simplify right side
    471,970.24x = 122,104,820,829.48
  5. Step 5: Solve for x
    x = 122,104,820,829.48/471,970.24
  6. Step 6: Final answer
    x = 258,712.97

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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.