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Finding the Fourth Proportional to 686,598.56, 947,453.76 and 384,734.24

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Solution

The fourth proportional to 686,598.56, 947,453.76 and 384,734.24 is: 530,903.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,598.56 : 947,453.76 = 384,734.24 : x
  2. Step 2: Convert to fraction form
    686,598.56/947,453.76 = 384,734.24/x
  3. Step 3: Cross multiply
    686,598.56x = 947,453.76 × 384,734.24
  4. Step 4: Simplify right side
    686,598.56x = 364,517,902,288.74
  5. Step 5: Solve for x
    x = 364,517,902,288.74/686,598.56
  6. Step 6: Final answer
    x = 530,903.97

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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.