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Finding the Fourth Proportional to 308,835.98, 463,333.82 and 180,860.33

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Solution

The fourth proportional to 308,835.98, 463,333.82 and 180,860.33 is: 271,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,835.98 : 463,333.82 = 180,860.33 : x
  2. Step 2: Convert to fraction form
    308,835.98/463,333.82 = 180,860.33/x
  3. Step 3: Cross multiply
    308,835.98x = 463,333.82 × 180,860.33
  4. Step 4: Simplify right side
    308,835.98x = 83,798,704,364.39
  5. Step 5: Solve for x
    x = 83,798,704,364.39/308,835.98
  6. Step 6: Final answer
    x = 271,337.25

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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.