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Finding the Fourth Proportional to 511,546.60, 767,319.90 and 432,814.60

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Solution

The fourth proportional to 511,546.60, 767,319.90 and 432,814.60 is: 649,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,546.60 : 767,319.90 = 432,814.60 : x
  2. Step 2: Convert to fraction form
    511,546.60/767,319.90 = 432,814.60/x
  3. Step 3: Cross multiply
    511,546.60x = 767,319.90 × 432,814.60
  4. Step 4: Simplify right side
    511,546.60x = 332,107,255,590.54
  5. Step 5: Solve for x
    x = 332,107,255,590.54/511,546.60
  6. Step 6: Final answer
    x = 649,221.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.