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Finding the Fourth Proportional to 686,566.50, 947,517.92 and 380,738.82

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Solution

The fourth proportional to 686,566.50, 947,517.92 and 380,738.82 is: 525,450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,566.50 : 947,517.92 = 380,738.82 : x
  2. Step 2: Convert to fraction form
    686,566.50/947,517.92 = 380,738.82/x
  3. Step 3: Cross multiply
    686,566.50x = 947,517.92 × 380,738.82
  4. Step 4: Simplify right side
    686,566.50x = 360,756,852,007.82
  5. Step 5: Solve for x
    x = 360,756,852,007.82/686,566.50
  6. Step 6: Final answer
    x = 525,450.70

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