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Finding the Fourth Proportional to 376,510.32, 519,580.50 and 204,424.50

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Solution

The fourth proportional to 376,510.32, 519,580.50 and 204,424.50 is: 282,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,510.32 : 519,580.50 = 204,424.50 : x
  2. Step 2: Convert to fraction form
    376,510.32/519,580.50 = 204,424.50/x
  3. Step 3: Cross multiply
    376,510.32x = 519,580.50 × 204,424.50
  4. Step 4: Simplify right side
    376,510.32x = 106,214,983,922.25
  5. Step 5: Solve for x
    x = 106,214,983,922.25/376,510.32
  6. Step 6: Final answer
    x = 282,103.78

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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.