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Finding the Fourth Proportional to 471,852.96, 708,083.81 and 172,308.48

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Solution

The fourth proportional to 471,852.96, 708,083.81 and 172,308.48 is: 258,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,852.96 : 708,083.81 = 172,308.48 : x
  2. Step 2: Convert to fraction form
    471,852.96/708,083.81 = 172,308.48/x
  3. Step 3: Cross multiply
    471,852.96x = 708,083.81 × 172,308.48
  4. Step 4: Simplify right side
    471,852.96x = 122,008,844,152.17
  5. Step 5: Solve for x
    x = 122,008,844,152.17/471,852.96
  6. Step 6: Final answer
    x = 258,573.87

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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.