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Finding the Fourth Proportional to 357,793.10, 536,431.80 and 180,425.24

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Solution

The fourth proportional to 357,793.10, 536,431.80 and 180,425.24 is: 270,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,793.10 : 536,431.80 = 180,425.24 : x
  2. Step 2: Convert to fraction form
    357,793.10/536,431.80 = 180,425.24/x
  3. Step 3: Cross multiply
    357,793.10x = 536,431.80 × 180,425.24
  4. Step 4: Simplify right side
    357,793.10x = 96,785,836,258.63
  5. Step 5: Solve for x
    x = 96,785,836,258.63/357,793.10
  6. Step 6: Final answer
    x = 270,507.83

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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.