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Finding the Fourth Proportional to 471,603.22, 650,976.46 and 280,612.50

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Solution

The fourth proportional to 471,603.22, 650,976.46 and 280,612.50 is: 387,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,603.22 : 650,976.46 = 280,612.50 : x
  2. Step 2: Convert to fraction form
    471,603.22/650,976.46 = 280,612.50/x
  3. Step 3: Cross multiply
    471,603.22x = 650,976.46 × 280,612.50
  4. Step 4: Simplify right side
    471,603.22x = 182,672,131,881.75
  5. Step 5: Solve for x
    x = 182,672,131,881.75/471,603.22
  6. Step 6: Final answer
    x = 387,342.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.