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Finding the Fourth Proportional to 422,537.94, 583,097.38 and 228,941.86

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Solution

The fourth proportional to 422,537.94, 583,097.38 and 228,941.86 is: 315,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,537.94 : 583,097.38 = 228,941.86 : x
  2. Step 2: Convert to fraction form
    422,537.94/583,097.38 = 228,941.86/x
  3. Step 3: Cross multiply
    422,537.94x = 583,097.38 × 228,941.86
  4. Step 4: Simplify right side
    422,537.94x = 133,495,398,738.33
  5. Step 5: Solve for x
    x = 133,495,398,738.33/422,537.94
  6. Step 6: Final answer
    x = 315,937.07

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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.