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Finding the Fourth Proportional to 686,606.56, 947,464.80 and 384,742.24

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Solution

The fourth proportional to 686,606.56, 947,464.80 and 384,742.24 is: 530,915.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,606.56 : 947,464.80 = 384,742.24 : x
  2. Step 2: Convert to fraction form
    686,606.56/947,464.80 = 384,742.24/x
  3. Step 3: Cross multiply
    686,606.56x = 947,464.80 × 384,742.24
  4. Step 4: Simplify right side
    686,606.56x = 364,529,729,473.15
  5. Step 5: Solve for x
    x = 364,529,729,473.15/686,606.56
  6. Step 6: Final answer
    x = 530,915.01

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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.