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Finding the Fourth Proportional to 376,543.49, 519,614.46 and 204,454.71

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Solution

The fourth proportional to 376,543.49, 519,614.46 and 204,454.71 is: 282,139.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,543.49 : 519,614.46 = 204,454.71 : x
  2. Step 2: Convert to fraction form
    376,543.49/519,614.46 = 204,454.71/x
  3. Step 3: Cross multiply
    376,543.49x = 519,614.46 × 204,454.71
  4. Step 4: Simplify right side
    376,543.49x = 106,237,623,731.11
  5. Step 5: Solve for x
    x = 106,237,623,731.11/376,543.49
  6. Step 6: Final answer
    x = 282,139.06

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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.