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Finding the Fourth Proportional to 632,185.46, 947,279.46 and 513,275.84

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Solution

The fourth proportional to 632,185.46, 947,279.46 and 513,275.84 is: 769,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,185.46 : 947,279.46 = 513,275.84 : x
  2. Step 2: Convert to fraction form
    632,185.46/947,279.46 = 513,275.84/x
  3. Step 3: Cross multiply
    632,185.46x = 947,279.46 × 513,275.84
  4. Step 4: Simplify right side
    632,185.46x = 486,215,660,546.25
  5. Step 5: Solve for x
    x = 486,215,660,546.25/632,185.46
  6. Step 6: Final answer
    x = 769,102.88

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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.