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Finding the Fourth Proportional to 471,108.83, 706,573.10 and 182,920.48

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Solution

The fourth proportional to 471,108.83, 706,573.10 and 182,920.48 is: 274,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,108.83 : 706,573.10 = 182,920.48 : x
  2. Step 2: Convert to fraction form
    471,108.83/706,573.10 = 182,920.48/x
  3. Step 3: Cross multiply
    471,108.83x = 706,573.10 × 182,920.48
  4. Step 4: Simplify right side
    471,108.83x = 129,246,689,297.96
  5. Step 5: Solve for x
    x = 129,246,689,297.96/471,108.83
  6. Step 6: Final answer
    x = 274,345.72

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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.