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Finding the Fourth Proportional to 547,361.60, 821,656.80 and 423,252.80

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Solution

The fourth proportional to 547,361.60, 821,656.80 and 423,252.80 is: 635,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,361.60 : 821,656.80 = 423,252.80 : x
  2. Step 2: Convert to fraction form
    547,361.60/821,656.80 = 423,252.80/x
  3. Step 3: Cross multiply
    547,361.60x = 821,656.80 × 423,252.80
  4. Step 4: Simplify right side
    547,361.60x = 347,768,541,239.04
  5. Step 5: Solve for x
    x = 347,768,541,239.04/547,361.60
  6. Step 6: Final answer
    x = 635,354.29

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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.