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Finding the Fourth Proportional to 463,827.32, 641,370.12 and 368,167.94

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Solution

The fourth proportional to 463,827.32, 641,370.12 and 368,167.94 is: 509,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,827.32 : 641,370.12 = 368,167.94 : x
  2. Step 2: Convert to fraction form
    463,827.32/641,370.12 = 368,167.94/x
  3. Step 3: Cross multiply
    463,827.32x = 641,370.12 × 368,167.94
  4. Step 4: Simplify right side
    463,827.32x = 236,131,915,857.95
  5. Step 5: Solve for x
    x = 236,131,915,857.95/463,827.32
  6. Step 6: Final answer
    x = 509,094.45

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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.