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Finding the Fourth Proportional to 686,923.84, 947,940.72 and 380,950.88

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Solution

The fourth proportional to 686,923.84, 947,940.72 and 380,950.88 is: 525,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,923.84 : 947,940.72 = 380,950.88 : x
  2. Step 2: Convert to fraction form
    686,923.84/947,940.72 = 380,950.88/x
  3. Step 3: Cross multiply
    686,923.84x = 947,940.72 × 380,950.88
  4. Step 4: Simplify right side
    686,923.84x = 361,118,851,471.83
  5. Step 5: Solve for x
    x = 361,118,851,471.83/686,923.84
  6. Step 6: Final answer
    x = 525,704.35

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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.