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Finding the Fourth Proportional to 463,027.60, 694,541.40 and 147,516.40

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Solution

The fourth proportional to 463,027.60, 694,541.40 and 147,516.40 is: 221,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,027.60 : 694,541.40 = 147,516.40 : x
  2. Step 2: Convert to fraction form
    463,027.60/694,541.40 = 147,516.40/x
  3. Step 3: Cross multiply
    463,027.60x = 694,541.40 × 147,516.40
  4. Step 4: Simplify right side
    463,027.60x = 102,456,246,978.96
  5. Step 5: Solve for x
    x = 102,456,246,978.96/463,027.60
  6. Step 6: Final answer
    x = 221,274.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.