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Finding the Fourth Proportional to 565,338, 848,395.80 and 232,914

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Solution

The fourth proportional to 565,338, 848,395.80 and 232,914 is: 349,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,338 : 848,395.80 = 232,914 : x
  2. Step 2: Convert to fraction form
    565,338/848,395.80 = 232,914/x
  3. Step 3: Cross multiply
    565,338x = 848,395.80 × 232,914
  4. Step 4: Simplify right side
    565,338x = 197,603,259,361.20
  5. Step 5: Solve for x
    x = 197,603,259,361.20/565,338
  6. Step 6: Final answer
    x = 349,531.18

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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.