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Finding the Fourth Proportional to 476,996.59, 715,822.94 and 196,513.84

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Solution

The fourth proportional to 476,996.59, 715,822.94 and 196,513.84 is: 294,905.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,996.59 : 715,822.94 = 196,513.84 : x
  2. Step 2: Convert to fraction form
    476,996.59/715,822.94 = 196,513.84/x
  3. Step 3: Cross multiply
    476,996.59x = 715,822.94 × 196,513.84
  4. Step 4: Simplify right side
    476,996.59x = 140,669,114,699.49
  5. Step 5: Solve for x
    x = 140,669,114,699.49/476,996.59
  6. Step 6: Final answer
    x = 294,905.91

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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.