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Finding the Fourth Proportional to 415,603.70, 623,175.15 and 166,003.70

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Solution

The fourth proportional to 415,603.70, 623,175.15 and 166,003.70 is: 248,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,603.70 : 623,175.15 = 166,003.70 : x
  2. Step 2: Convert to fraction form
    415,603.70/623,175.15 = 166,003.70/x
  3. Step 3: Cross multiply
    415,603.70x = 623,175.15 × 166,003.70
  4. Step 4: Simplify right side
    415,603.70x = 103,449,380,648.06
  5. Step 5: Solve for x
    x = 103,449,380,648.06/415,603.70
  6. Step 6: Final answer
    x = 248,913.52

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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.