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Finding the Fourth Proportional to 376,762.59, 519,924.02 and 204,676.07

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Solution

The fourth proportional to 376,762.59, 519,924.02 and 204,676.07 is: 282,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,762.59 : 519,924.02 = 204,676.07 : x
  2. Step 2: Convert to fraction form
    376,762.59/519,924.02 = 204,676.07/x
  3. Step 3: Cross multiply
    376,762.59x = 519,924.02 × 204,676.07
  4. Step 4: Simplify right side
    376,762.59x = 106,416,001,489.20
  5. Step 5: Solve for x
    x = 106,416,001,489.20/376,762.59
  6. Step 6: Final answer
    x = 282,448.43

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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.