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Finding the Fourth Proportional to 686,565.87, 947,516.74 and 380,738.07

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Solution

The fourth proportional to 686,565.87, 947,516.74 and 380,738.07 is: 525,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,565.87 : 947,516.74 = 380,738.07 : x
  2. Step 2: Convert to fraction form
    686,565.87/947,516.74 = 380,738.07/x
  3. Step 3: Cross multiply
    686,565.87x = 947,516.74 × 380,738.07
  4. Step 4: Simplify right side
    686,565.87x = 360,755,694,880.29
  5. Step 5: Solve for x
    x = 360,755,694,880.29/686,565.87
  6. Step 6: Final answer
    x = 525,449.50

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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.