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Finding the Fourth Proportional to 471,166.50, 706,976.55 and 234,529.86

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Solution

The fourth proportional to 471,166.50, 706,976.55 and 234,529.86 is: 351,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,166.50 : 706,976.55 = 234,529.86 : x
  2. Step 2: Convert to fraction form
    471,166.50/706,976.55 = 234,529.86/x
  3. Step 3: Cross multiply
    471,166.50x = 706,976.55 × 234,529.86
  4. Step 4: Simplify right side
    471,166.50x = 165,807,111,294.78
  5. Step 5: Solve for x
    x = 165,807,111,294.78/471,166.50
  6. Step 6: Final answer
    x = 351,907.68

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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.