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Finding the Fourth Proportional to 686,387.72, 947,214.42 and 384,583.88

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Solution

The fourth proportional to 686,387.72, 947,214.42 and 384,583.88 is: 530,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,387.72 : 947,214.42 = 384,583.88 : x
  2. Step 2: Convert to fraction form
    686,387.72/947,214.42 = 384,583.88/x
  3. Step 3: Cross multiply
    686,387.72x = 947,214.42 × 384,583.88
  4. Step 4: Simplify right side
    686,387.72x = 364,283,396,835.55
  5. Step 5: Solve for x
    x = 364,283,396,835.55/686,387.72
  6. Step 6: Final answer
    x = 530,725.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.