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Finding the Fourth Proportional to 415,630.36, 623,471.87 and 175,699.54

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Solution

The fourth proportional to 415,630.36, 623,471.87 and 175,699.54 is: 263,560.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,630.36 : 623,471.87 = 175,699.54 : x
  2. Step 2: Convert to fraction form
    415,630.36/623,471.87 = 175,699.54/x
  3. Step 3: Cross multiply
    415,630.36x = 623,471.87 × 175,699.54
  4. Step 4: Simplify right side
    415,630.36x = 109,543,720,761.94
  5. Step 5: Solve for x
    x = 109,543,720,761.94/415,630.36
  6. Step 6: Final answer
    x = 263,560.44

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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.