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Finding the Fourth Proportional to 463,832.20, 640,395.48 and 356,209.12

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Solution

The fourth proportional to 463,832.20, 640,395.48 and 356,209.12 is: 491,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,832.20 : 640,395.48 = 356,209.12 : x
  2. Step 2: Convert to fraction form
    463,832.20/640,395.48 = 356,209.12/x
  3. Step 3: Cross multiply
    463,832.20x = 640,395.48 × 356,209.12
  4. Step 4: Simplify right side
    463,832.20x = 228,114,710,382.78
  5. Step 5: Solve for x
    x = 228,114,710,382.78/463,832.20
  6. Step 6: Final answer
    x = 491,804.39

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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.