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Finding the Fourth Proportional to 415,857.60, 573,972.42 and 262,798.38

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Solution

The fourth proportional to 415,857.60, 573,972.42 and 262,798.38 is: 362,717.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,857.60 : 573,972.42 = 262,798.38 : x
  2. Step 2: Convert to fraction form
    415,857.60/573,972.42 = 262,798.38/x
  3. Step 3: Cross multiply
    415,857.60x = 573,972.42 × 262,798.38
  4. Step 4: Simplify right side
    415,857.60x = 150,839,022,140.68
  5. Step 5: Solve for x
    x = 150,839,022,140.68/415,857.60
  6. Step 6: Final answer
    x = 362,717.96

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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.