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Finding the Fourth Proportional to 415,936.63, 573,992.94 and 224,950.02

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Solution

The fourth proportional to 415,936.63, 573,992.94 and 224,950.02 is: 310,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,936.63 : 573,992.94 = 224,950.02 : x
  2. Step 2: Convert to fraction form
    415,936.63/573,992.94 = 224,950.02/x
  3. Step 3: Cross multiply
    415,936.63x = 573,992.94 × 224,950.02
  4. Step 4: Simplify right side
    415,936.63x = 129,119,723,332.86
  5. Step 5: Solve for x
    x = 129,119,723,332.86/415,936.63
  6. Step 6: Final answer
    x = 310,431.24

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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.