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Finding the Fourth Proportional to 686,948.64, 947,989.44 and 381,014.40

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Solution

The fourth proportional to 686,948.64, 947,989.44 and 381,014.40 is: 525,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,948.64 : 947,989.44 = 381,014.40 : x
  2. Step 2: Convert to fraction form
    686,948.64/947,989.44 = 381,014.40/x
  3. Step 3: Cross multiply
    686,948.64x = 947,989.44 × 381,014.40
  4. Step 4: Simplify right side
    686,948.64x = 361,197,627,687.94
  5. Step 5: Solve for x
    x = 361,197,627,687.94/686,948.64
  6. Step 6: Final answer
    x = 525,800.05

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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.