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Finding the Fourth Proportional to 473,221.48, 653,046.70 and 258,361.60

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Solution

The fourth proportional to 473,221.48, 653,046.70 and 258,361.60 is: 356,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,221.48 : 653,046.70 = 258,361.60 : x
  2. Step 2: Convert to fraction form
    473,221.48/653,046.70 = 258,361.60/x
  3. Step 3: Cross multiply
    473,221.48x = 653,046.70 × 258,361.60
  4. Step 4: Simplify right side
    473,221.48x = 168,722,190,286.72
  5. Step 5: Solve for x
    x = 168,722,190,286.72/473,221.48
  6. Step 6: Final answer
    x = 356,539.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.