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Finding the Fourth Proportional to 686,719.50, 947,672.91 and 384,913.50

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Solution

The fourth proportional to 686,719.50, 947,672.91 and 384,913.50 is: 531,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,719.50 : 947,672.91 = 384,913.50 : x
  2. Step 2: Convert to fraction form
    686,719.50/947,672.91 = 384,913.50/x
  3. Step 3: Cross multiply
    686,719.50x = 947,672.91 × 384,913.50
  4. Step 4: Simplify right side
    686,719.50x = 364,772,096,643.29
  5. Step 5: Solve for x
    x = 364,772,096,643.29/686,719.50
  6. Step 6: Final answer
    x = 531,180.63

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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.