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Finding the Fourth Proportional to 375,650.84, 518,402.76 and 205,884.56

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Solution

The fourth proportional to 375,650.84, 518,402.76 and 205,884.56 is: 284,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,650.84 : 518,402.76 = 205,884.56 : x
  2. Step 2: Convert to fraction form
    375,650.84/518,402.76 = 205,884.56/x
  3. Step 3: Cross multiply
    375,650.84x = 518,402.76 × 205,884.56
  4. Step 4: Simplify right side
    375,650.84x = 106,731,124,145.39
  5. Step 5: Solve for x
    x = 106,731,124,145.39/375,650.84
  6. Step 6: Final answer
    x = 284,123.21

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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.