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Finding the Fourth Proportional to 415,481.80, 623,222.70 and 135,027.40

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Solution

The fourth proportional to 415,481.80, 623,222.70 and 135,027.40 is: 202,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,481.80 : 623,222.70 = 135,027.40 : x
  2. Step 2: Convert to fraction form
    415,481.80/623,222.70 = 135,027.40/x
  3. Step 3: Cross multiply
    415,481.80x = 623,222.70 × 135,027.40
  4. Step 4: Simplify right side
    415,481.80x = 84,152,140,801.98
  5. Step 5: Solve for x
    x = 84,152,140,801.98/415,481.80
  6. Step 6: Final answer
    x = 202,541.10

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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.