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Finding the Fourth Proportional to 469,781.92, 647,583.12 and 369,004.96

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Solution

The fourth proportional to 469,781.92, 647,583.12 and 369,004.96 is: 508,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,781.92 : 647,583.12 = 369,004.96 : x
  2. Step 2: Convert to fraction form
    469,781.92/647,583.12 = 369,004.96/x
  3. Step 3: Cross multiply
    469,781.92x = 647,583.12 × 369,004.96
  4. Step 4: Simplify right side
    469,781.92x = 238,961,383,292.28
  5. Step 5: Solve for x
    x = 238,961,383,292.28/469,781.92
  6. Step 6: Final answer
    x = 508,664.50

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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.